{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Linear Regression by Kalman filter\n",
    "\n",
    "\n",
    "The Kalman filter is a great tool!!\n",
    "\n",
    "This is one of my favourite algorithms. It can be used in almost all practical applications in finance.   \n",
    "And this is the reason I decided to write a notebook on the **applications of the Kalman filter to linear regression**.\n",
    "\n",
    "I suggest the beginners in this area to have a look at [https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python](https://github.com/rlabbe/Kalman-and-Bayesian-Filters-in-Python).     \n",
    "In my opinion this is one of the best interactive tutorials on Bayesian Filters ever written (it is also the only one that I know). \n",
    "\n",
    "## Contents\n",
    "   - [Real market data](#sec1)\n",
    "     - [Data Cleaning](#sec1.1) \n",
    "   - [Linear regression](#sec2)\n",
    "   - [The Kalman filter](#sec3)\n",
    "     - [Kalman regression for the beta](#sec3.1) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import datetime as dt\n",
    "import pandas as pd\n",
    "import importlib\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits import mplot3d\n",
    "from matplotlib import cm\n",
    "%matplotlib inline\n",
    "import statsmodels.api as sm\n",
    "import scipy.stats as ss\n",
    "from scipy.optimize import minimize\n",
    "from IPython import display\n",
    "from scipy.linalg import inv\n",
    "import functions.Kalman_filter as KF"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec1'></a>\n",
    "\n",
    "# Real market data\n",
    "\n",
    "I have collected some market time series from different sources and saved them in `historical_data.csv`, such that now we can play with them.\n",
    "\n",
    "The tickers are:    \n",
    "- STOCKS: `AAPL`-> Apple, `EXO.MI`-> Exor (FIAT,Ferrari,etc), `FB`-> Facebook, `GOOGL`-> Google, `UBS`-> UBS, \n",
    "- INDECES: `^GSPC`-> [S&P500](https://en.wikipedia.org/wiki/S%26P_500_Index), `^IXIC`-> [Nasdaq](https://en.wikipedia.org/wiki/NASDAQ_Composite), `^VIX`-> [VIX](https://en.wikipedia.org/wiki/VIX) (Implied Volatility of S&P500). \n",
    "- BOND:`^TNX`-> Yield 10Y US.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>EXO.MI</th>\n",
       "      <th>FB</th>\n",
       "      <th>GOOGL</th>\n",
       "      <th>UBS</th>\n",
       "      <th>^GSPC</th>\n",
       "      <th>^IXIC</th>\n",
       "      <th>^TNX</th>\n",
       "      <th>^VIX</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-10-28</th>\n",
       "      <td>249.050003</td>\n",
       "      <td>62.939999</td>\n",
       "      <td>189.399994</td>\n",
       "      <td>1288.979980</td>\n",
       "      <td>11.95</td>\n",
       "      <td>3039.419922</td>\n",
       "      <td>8325.990234</td>\n",
       "      <td>1.853</td>\n",
       "      <td>13.11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-10-29</th>\n",
       "      <td>243.289993</td>\n",
       "      <td>62.160000</td>\n",
       "      <td>189.309998</td>\n",
       "      <td>1260.660034</td>\n",
       "      <td>12.08</td>\n",
       "      <td>3036.889893</td>\n",
       "      <td>8276.849609</td>\n",
       "      <td>1.835</td>\n",
       "      <td>13.20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-10-30</th>\n",
       "      <td>243.259995</td>\n",
       "      <td>65.019997</td>\n",
       "      <td>188.250000</td>\n",
       "      <td>1260.699951</td>\n",
       "      <td>11.84</td>\n",
       "      <td>3046.770020</td>\n",
       "      <td>8303.980469</td>\n",
       "      <td>1.798</td>\n",
       "      <td>12.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-10-31</th>\n",
       "      <td>248.759995</td>\n",
       "      <td>68.720001</td>\n",
       "      <td>191.649994</td>\n",
       "      <td>1258.800049</td>\n",
       "      <td>11.77</td>\n",
       "      <td>3037.560059</td>\n",
       "      <td>8292.360352</td>\n",
       "      <td>1.691</td>\n",
       "      <td>13.22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-11-01</th>\n",
       "      <td>255.820007</td>\n",
       "      <td>69.459999</td>\n",
       "      <td>193.619995</td>\n",
       "      <td>1272.250000</td>\n",
       "      <td>11.96</td>\n",
       "      <td>3066.909912</td>\n",
       "      <td>8386.400391</td>\n",
       "      <td>1.728</td>\n",
       "      <td>12.30</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  AAPL     EXO.MI          FB        GOOGL    UBS  \\\n",
       "Date                                                                \n",
       "2019-10-28  249.050003  62.939999  189.399994  1288.979980  11.95   \n",
       "2019-10-29  243.289993  62.160000  189.309998  1260.660034  12.08   \n",
       "2019-10-30  243.259995  65.019997  188.250000  1260.699951  11.84   \n",
       "2019-10-31  248.759995  68.720001  191.649994  1258.800049  11.77   \n",
       "2019-11-01  255.820007  69.459999  193.619995  1272.250000  11.96   \n",
       "\n",
       "                  ^GSPC        ^IXIC   ^TNX   ^VIX  \n",
       "Date                                                \n",
       "2019-10-28  3039.419922  8325.990234  1.853  13.11  \n",
       "2019-10-29  3036.889893  8276.849609  1.835  13.20  \n",
       "2019-10-30  3046.770020  8303.980469  1.798  12.33  \n",
       "2019-10-31  3037.560059  8292.360352  1.691  13.22  \n",
       "2019-11-01  3066.909912  8386.400391  1.728  12.30  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "filename = \"data/\" + \"historical_data.csv\"\n",
    "data = pd.read_csv(filename, index_col=\"Date\", parse_dates=True)\n",
    "data.tail()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec1.1'></a>\n",
    "### Data cleaning"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Data can contain NaNs, negative values, zeros and outliers. Let's have a look!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>EXO.MI</th>\n",
       "      <th>FB</th>\n",
       "      <th>GOOGL</th>\n",
       "      <th>UBS</th>\n",
       "      <th>^GSPC</th>\n",
       "      <th>^IXIC</th>\n",
       "      <th>^TNX</th>\n",
       "      <th>^VIX</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-05-01</th>\n",
       "      <td>208.918625</td>\n",
       "      <td>NaN</td>\n",
       "      <td>193.029999</td>\n",
       "      <td>1173.319946</td>\n",
       "      <td>12.593584</td>\n",
       "      <td>2923.729980</td>\n",
       "      <td>8049.640137</td>\n",
       "      <td>2.511</td>\n",
       "      <td>14.80</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-05-27</th>\n",
       "      <td>NaN</td>\n",
       "      <td>59.554962</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-07-04</th>\n",
       "      <td>NaN</td>\n",
       "      <td>64.400002</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-08-15</th>\n",
       "      <td>201.740005</td>\n",
       "      <td>NaN</td>\n",
       "      <td>182.589996</td>\n",
       "      <td>1169.319946</td>\n",
       "      <td>10.160000</td>\n",
       "      <td>2847.600098</td>\n",
       "      <td>7766.620117</td>\n",
       "      <td>1.529</td>\n",
       "      <td>21.18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-09-02</th>\n",
       "      <td>NaN</td>\n",
       "      <td>61.840000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  AAPL     EXO.MI          FB        GOOGL        UBS  \\\n",
       "Date                                                                    \n",
       "2019-05-01  208.918625        NaN  193.029999  1173.319946  12.593584   \n",
       "2019-05-27         NaN  59.554962         NaN          NaN        NaN   \n",
       "2019-07-04         NaN  64.400002         NaN          NaN        NaN   \n",
       "2019-08-15  201.740005        NaN  182.589996  1169.319946  10.160000   \n",
       "2019-09-02         NaN  61.840000         NaN          NaN        NaN   \n",
       "\n",
       "                  ^GSPC        ^IXIC   ^TNX   ^VIX  \n",
       "Date                                                \n",
       "2019-05-01  2923.729980  8049.640137  2.511  14.80  \n",
       "2019-05-27          NaN          NaN    NaN    NaN  \n",
       "2019-07-04          NaN          NaN    NaN    NaN  \n",
       "2019-08-15  2847.600098  7766.620117  1.529  21.18  \n",
       "2019-09-02          NaN          NaN    NaN    NaN  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[data.isna().any(axis=1)].tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AAPL      False\n",
       "EXO.MI    False\n",
       "FB        False\n",
       "GOOGL     False\n",
       "UBS       False\n",
       "^GSPC     False\n",
       "^IXIC     False\n",
       "^TNX      False\n",
       "^VIX      False\n",
       "dtype: bool"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data < 1e-2 ).any()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Fortunately there are no non-positive values, but there are several NaNs.     \n",
    "Why?\n",
    "\n",
    "There can be many reason, but in this case I think it is because of a different calendar (different countries have different holidays). \n",
    "\n",
    "##### How to solve this problem?\n",
    "There are several possibilities:      \n",
    "-   1)  We may remove the entire line     \n",
    "-   2)  We may forward fill the missing values     \n",
    "-   3)  We may backward fill the missing values     \n",
    "-   4)  We may interpolate or estimate (e.g. regression) the missing values     \n",
    "\n",
    "All these possibilities have advantages and disvantages. This is a delicate task, for more information see [Imputation](https://en.wikipedia.org/wiki/Imputation_(statistics)).\n",
    "\n",
    "First of all, let us select the two tickers for the regression analysis.\n",
    "\n",
    "### Feel free to change the tickers in the next cell:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = data[ [\"GOOGL\",\"^GSPC\"] ]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this analysis I use the following convention:\n",
    "\n",
    "- If in one day there is only one value missing, I use the method 2) i.e. **forward filling**. I can justify this choice by saying that if there is no price, it means that the price hasn't changed.\n",
    "\n",
    "- If in one day both values are missing, then I remove the entire line. (Probably the market was closed on that day) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Are there still some NaNs? \n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "GOOGL    False\n",
       "^GSPC    False\n",
       "dtype: bool"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "history_len = 1000                              # lenght of the time series \n",
    "df.sort_index(inplace=True, ascending =True)    # not necessary in general, but useful\n",
    "df = df.dropna(axis=1, how='all')               # drops columns with all NaNs\n",
    "df = df.dropna(axis=0, how='all')               # drops rows with at least one NaN\n",
    "df = df[-history_len:]\n",
    "df = df.ffill()                                 # Forward fill\n",
    "print(\"Are there still some NaNs? \"); df.isnull().any()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we call $S_t$ the price under consideration (stock, index, rate) at time $t$, we can work with three types of returns $X_t$:\n",
    "- Total returns: \n",
    "$$ X_t = \\frac{S_t}{S_{t-1}} $$\n",
    "- Linear returns:\n",
    "$$ X_t = \\frac{S_t}{S_{t-1}} - 1 $$\n",
    "- Logarithmic returns:\n",
    "$$ X_t = \\log \\frac{S_t}{S_{t-1}} $$\n",
    "\n",
    "For now, I prefer to work with log-returns. But feel free to try other options."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "returns = \"log-returns\"\n",
    "\n",
    "if returns==\"log-returns\":\n",
    "    ret = np.log( df/df.shift() )[1:]\n",
    "elif returns==\"linear-returns\":  \n",
    "    ret = df.pct_change()[1:]\n",
    "elif returns==\"total-returns\":\n",
    "    ret = df/df.shift()[1:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "NOSD = 3               # Number Of Standard Deviations\n",
    "mu = ret.mean()\n",
    "sig = ret.std()\n",
    "fig = plt.figure(figsize=(16,5))\n",
    "ax1 = fig.add_subplot(121); ax2 = fig.add_subplot(122)\n",
    "\n",
    "df.plot(ax=ax1)\n",
    "ax1.set_title(\"Time series of prices\"); ax1.set_xlabel(\"Time\"); ax1.set_ylabel(\"Price\")\n",
    "ret.plot(ax=ax2)\n",
    "ax2.set_title(\"Time series of returns\"); ax2.set_xlabel(\"Time\"); ax2.set_ylabel(returns)\n",
    "ax2.plot(ret.index, len(ret)*[mu], color=\"k\" )\n",
    "ax2.plot(ret.index, len(ret)*[mu+NOSD*sig], color='c' )\n",
    "ax2.plot(ret.index, len(ret)*[mu-NOSD*sig], color='c' )\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### What about the outliers?\n",
    "\n",
    "We can see that there are returns that are quite bigger than $3\\sigma$ (three standard deviations).    \n",
    "If we assume a Normal distribution for the returns, these outliers can create problems.\n",
    "\n",
    "Wait a second...     \n",
    "we calculated the standard deviation `ret.std()` using the data containing the ouliers!!     \n",
    "It means that the value of the standard deviation is aslo affected by the outliers!!\n",
    "\n",
    "The solution is to use [robust](https://en.wikipedia.org/wiki/Robust_statistics) estimators of the location and the dispersion of a distribution. They work much better in presence of outliers. \n",
    "\n",
    "Although there are several alternatives, I prefer to use the **median** and the [MAD](https://en.wikipedia.org/wiki/Median_absolute_deviation). These estimators are more robust than the mean and standard deviation. In the standard deviation, the distances from the mean are squared, so large deviations are weighted more heavily, and thus outliers can heavily influence it. In the MAD instead, the deviations of a small number of outliers are irrelevant. \n",
    "\n",
    "As explained on [wiki](https://en.wikipedia.org/wiki/Median_absolute_deviation), in order to use the MAD as a consistent estimator of the standard deviation, we have to take \n",
    "\n",
    "$$ \\sigma = k \\mbox{MAD} $$\n",
    "\n",
    "where under the assumption of Normal distribution, $k = 1.4826$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "STD DEV: \n",
      " GOOGL    0.014242\n",
      "^GSPC    0.008324\n",
      "dtype: float64\n",
      "\n",
      "Robust STD DEV: \n",
      " GOOGL    0.014794\n",
      "^GSPC    0.008357\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "median = ret.median()\n",
    "MAD = ret.mad()\n",
    "sig_robust = MAD*1.4826\n",
    "print(\"STD DEV: \\n\", sig); print(\"\"); print(\"Robust STD DEV: \\n\", sig_robust); "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "outliers = ret[ret[ np.abs(ret-median)>NOSD*sig_robust ].any(axis=1)]     # outliers\n",
    "dret = ret.drop(outliers.index)                                           # series of returns without outliers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(16,6))\n",
    "ax1 = fig.add_subplot(121); ax2 = fig.add_subplot(122) \n",
    "\n",
    "for ax, col in zip([ax1,ax2], dret.columns):\n",
    "    dret[col].plot(ax=ax)\n",
    "    ax.set_title(\"Clean series - No outliers\"); ax.set_xlabel(\"Time\"); ax.set_ylabel(returns)\n",
    "    ax.plot(dret.index, len(dret)*[median[col]], color=\"k\" )\n",
    "    ax.plot(dret.index, len(dret)*[median[col]+NOSD*sig_robust[col]], color='r', label=\"+3$\\sigma$\" )\n",
    "    ax.plot(dret.index, len(dret)*[median[col]-NOSD*sig_robust[col]], color='r', label=\"-3$\\sigma$\" )\n",
    "    ax.legend(loc=\"upper right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "We have reduced the initial DIRTY series of returns of size 999 to the new CLEAN series of size 974.\n"
     ]
    }
   ],
   "source": [
    "print(\"We have reduced the initial DIRTY series of returns of size {} to the \\\n",
    "new CLEAN series of size {}.\".format(len(ret),len(dret)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec2'></a>\n",
    "# Linear regression\n",
    "\n",
    "Let me recall some well known notions about [linear regression](https://en.wikipedia.org/wiki/Linear_regression).     The linear model is:\n",
    "\n",
    "$$ Y = \\alpha + \\beta X + \\epsilon $$\n",
    "\n",
    "where \n",
    "- X is the predictor variable\n",
    "- Y is the response variable\n",
    "- $\\epsilon$ is the error such that $Std[\\epsilon]= \\sigma$ and $Cov[\\epsilon,X]=0$. \n",
    "\n",
    "An additional useful hypothesis is to consider normal errors $\\epsilon \\sim \\mathcal{N}(0,\\sigma^2)$. This assumption permits to use MLE methods and to calculate confidence intervals.\n",
    "\n",
    "The parameters $\\alpha$ and $\\beta$ can be estimated by:\n",
    "\n",
    "$$ \\mathbb{E}[Y] = \\alpha + \\beta \\mathbb{E}[X]  \\quad \\Rightarrow \\quad \\alpha = \\mathbb{E}[Y] - \\beta \\mathbb{E}[X]$$\n",
    "\n",
    "and, using the bilinear property of the Covariance:\n",
    "\n",
    "$$ Cov[X,Y] = Cov[ X, \\alpha + \\beta X + \\epsilon ] = \\beta Var[X] $$\n",
    "\n",
    "$$ \\beta = \\frac{Cov[X,Y]}{Var[X]} $$\n",
    "\n",
    "If we have some observations $x_i$, we can use the linear regression as a model for the respose variables only (which are random) $Y_i = \\alpha + \\beta x_i + \\epsilon_i$, where the $\\epsilon_i$ are uncorrelated. The expectation $\\mathbb{E}[Y_i]$ is intended as a conditional expectation $\\mathbb{E}[Y_i|x_i]$.     \n",
    "\n",
    "If we have two sets of data $y_i$ and $x_i$ for $1 \\leq i \\leq n$, where $y_i$ are the realizations of $Y_i$, we call:\n",
    "$\\bar x = \\frac{1}{n} \\sum_{i=1}^n x_i$ and $\\bar y = \\frac{1}{n} \\sum_{i=1}^n y_i$.      \n",
    "We also define \n",
    "\n",
    "$$S_{xx} = \\sum_{i=1}^n (x_i - \\bar x)^2 \\quad S_{yy} = \\sum_{i=1}^n (y_i - \\bar y)^2  \\quad S_{xy} = \\sum_{i=1}^n (x_i - \\bar x)(y_i - \\bar y) $$  \n",
    "\n",
    "The estimator $\\hat \\beta$ and $\\hat \\alpha$ for $\\beta$ and $\\alpha$ are: \n",
    "\n",
    "$$ \\hat \\beta = \\frac{S_{xy}}{S_{xx}} \\quad \\quad \\hat \\alpha = \\bar y - \\beta \\bar x $$\n",
    "\n",
    "These estimators are the **least squares** estimators. They are also **MLE estimators** and **BLUE** (best linear unbiased estimators).     \n",
    "Of course $\\mathbb{E}[\\hat \\beta]=\\beta$ and $\\mathbb{E}[\\hat \\alpha]=\\alpha$ (they are unbiased). We also have:\n",
    "\n",
    "$$ Var[\\hat \\beta] = \\frac{\\sigma^2}{S_{xx}} \\quad Var[\\hat \\alpha] = \\frac{\\sigma^2}{n S_{xx}}\\sum_{i=1}^n x_i^2 $$\n",
    "\n",
    "and under the assumption of Normal errors, the estimators are also Normal distributed. (the square root of the variances above, is called \"standard error\" of $\\hat \\alpha$ and $\\hat \\beta$)       \n",
    "The residual estimator is $\\hat \\epsilon_i = y_i - \\hat \\alpha - \\hat \\beta x_i$. We can define the estimator for $\\sigma$.\n",
    "- MLE (biased)  \n",
    "$$ \\hat \\sigma^2 = \\frac{1}{n} \\sum_{i=1}^n \\epsilon_i^2 $$\n",
    "it has $\\mathbb{E}[\\hat \\sigma] = \\frac{n-2}{n} \\sigma^2 $.\n",
    "- Unbiased version:\n",
    "$$ S^2 = \\frac{n}{n-2}\\hat \\sigma^2 = \\frac{1}{n-2} \\sum_{i=1}^n \\epsilon_i^2 $$\n",
    "Under the normal assumption of errors, it is distributed as $\\frac{(n-2)S^2}{\\sigma^2} \\sim \\chi^2_{n-2}$.\n",
    "\n",
    "Confidence intervals can be obtained from the statistics:\n",
    "\n",
    "$$ \\frac{\\hat \\alpha - \\alpha}{ S \\sqrt{(\\sum_{i=1}^n x_i^2)/nS_{xx}} } \\sim t_{n-2} \\quad and \\quad  \n",
    "\\frac{\\hat \\beta - \\beta}{ S \\sqrt{S_{xx}} } \\sim t_{n-2} $$\n",
    "\n",
    "where the parameter $\\sigma$ is replaced by its unbiased estimator $S$. For a short (but complete) description of confidence intervals you can have a look at the notebook **1.2**.      \n",
    "For more info see [CI for linear regression](https://en.wikipedia.org/wiki/Simple_linear_regression#Confidence_intervals), or the deeper presentation in Chapter 11.3 of [1].\n",
    "\n",
    "Last, let us recall (with no proof) that if we call $\\hat y_i = \\hat \\alpha + \\hat \\beta x_i$, then\n",
    "\n",
    "$$ S_{yy} = \\sum_{i=1}^n (y_i - \\bar y)^2 =\\; \\sum_{i=1}^n (\\hat y_i - \\bar y)^2 + \\sum_{i=1}^n (y_i - \\hat y_i)^2  \n",
    "=\\; \\frac{S^2_{xy}}{S_{xx}} + \\sum_{i=1}^n \\hat \\epsilon_i^2 .$$\n",
    "\n",
    "We can define the **coefficient of determination $r^2$** such that $0 \\leq r^2 \\leq 1$, as\n",
    "\n",
    "\\begin{align*}\n",
    "r^2 &=\\; \\frac{\\sum_{i=1}^n (\\hat y_i - \\bar y)^2}{\\sum_{i=1}^n (y_i - \\bar y)^2} =\\; \\frac{S_{xy}^2}{S_{xx}S_{yy}} \\\\\n",
    "&=\\; 1 - \\frac{\\sum_{i=1}^n (\\hat \\epsilon_i)^2}{\\sum_{i=1}^n (y_i - \\bar y)^2}.\n",
    "\\end{align*}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In our regression Y is GOOGL and X is ^GSPC\n"
     ]
    }
   ],
   "source": [
    "X = dret[dret.columns[1]]\n",
    "Y = dret[dret.columns[0]]\n",
    "print(\"In our regression Y is {} and X is {}\".format(dret.columns[0],dret.columns[1]) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "We can use one of the many python functions:\n",
      "beta: 1.161800, alpha: 0.000297, R2: 0.474801, standard error: 0.039193.\n",
      "\n",
      "Or I can estimate by myself:\n",
      "beta: 1.1617997206407595, alpha: 0.000297277734251804, sigma: 0.008757049085402898\n"
     ]
    }
   ],
   "source": [
    "b_ss, a_ss, r_ss, _, std_err_ss = ss.linregress(X,Y)\n",
    "print(\"We can use one of the many python functions:\\nbeta: {0:6f}, alpha: {1:6f}, R2: {2:6f}, \\\n",
    "standard error: {3:6f}.\".format(b_ss, a_ss, r_ss**2, std_err_ss))\n",
    "\n",
    "beta_tot_OLS = np.cov(X,Y,ddof=1)[0,1] / np.var(X,ddof=1)\n",
    "alpha_tot_OLS = np.mean(Y) - beta_tot_OLS * np.mean(X)\n",
    "res = Y - beta_tot_OLS * X - alpha_tot_OLS\n",
    "std_eps_OLS = np.std(res, ddof=2) \n",
    "print(\"\\nOr I can estimate by myself:\\nbeta: {}, alpha: {}, sigma: {}\".format(beta_tot_OLS, \n",
    "                                                                             alpha_tot_OLS, std_eps_OLS))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Come on....Let's compute everything: (with the help of the scalar product between vectors `@`)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "beta: 1.1617997206407595 and alpha: 0.000297277734251804\n",
      "sigma: 0.008757049085402896\n",
      "Standard Error for beta:  0.03919264085592505\n",
      "R squared: 0.4748007016211966\n",
      "Confidence intervals for beta:  (1.0848877850257101, 1.238711656255809)\n",
      "Confidence intervals for alpha:  (-0.0002567777632213888, 0.0008513332317249967)\n"
     ]
    }
   ],
   "source": [
    "n = len(X)\n",
    "x_mean = np.mean(X); y_mean = np.mean(Y)\n",
    "Sxx = (X-x_mean) @ (X-x_mean)\n",
    "Syy = (Y-y_mean) @ (Y-y_mean)\n",
    "Sxy = (X-x_mean) @ (Y-y_mean)\n",
    "beta_hat = Sxy/Sxx; alpha_hat = y_mean - beta_hat * x_mean    # beta and alpha\n",
    "print(\"beta: {} and alpha: {}\".format(beta_hat,alpha_hat))\n",
    "epsilon = Y - beta_hat * X - alpha_hat             # residuals\n",
    "S2 = epsilon @ epsilon / (n-2); S = np.sqrt(S2)    # unbiased estimator\n",
    "print(\"sigma: {}\".format(S))\n",
    "var_beta = S2/Sxx                 # variance of beta \n",
    "var_alpha = (X@X) * S2/(Sxx * n)  # variance of alpha \n",
    "s_b = np.sqrt(var_beta)           # standard error for beta\n",
    "s_a = np.sqrt(var_alpha)          # standard error for alpha\n",
    "R2 = Sxy**2 / (Sxx*Syy)           \n",
    "print(\"Standard Error for beta: \", s_b); print(\"R squared: {}\".format(R2))\n",
    "CI_b = ss.t.interval(0.95, n-2, loc=beta_hat, scale=s_b );  b_up = CI_b[0]; b_down = CI_b[1]\n",
    "CI_a = ss.t.interval(0.95, n-2, loc=alpha_hat, scale=s_a )\n",
    "print(\"Confidence intervals for beta: \", CI_b); print(\"Confidence intervals for alpha: \", CI_a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The intercept $\\alpha$ is (always) almost zero. Therefore it is not relevant for the future analysis.   \n",
    "\n",
    "##### Plot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(res.min(),res.max(),100)     # res are the residuals\n",
    "\n",
    "fig = plt.figure(figsize=(16,5))\n",
    "ax1 = fig.add_subplot(121); ax2 = fig.add_subplot(122)\n",
    "ax1.scatter(X, Y); ax1.set_title(\"Scatter plot X-Y\") \n",
    "ax1.plot(X, alpha_hat + b_up*X, color=\"g\", label=\"upper bound beta\")\n",
    "ax1.plot(X, alpha_hat + b_down*X, color=\"y\", label=\"lower bound beta\")\n",
    "ax1.plot(X, alpha_hat + beta_hat*X, color=\"red\", label=\"estimated beta\"); ax1.legend(loc=\"upper left\")\n",
    "ax2.plot(x, ss.norm.pdf(x,0,S), label=\"Normal distribution\")\n",
    "params = ss.t.fit(res)\n",
    "ax2.plot(x, ss.t.pdf(x, loc=params[1], scale=params[2], df=params[0]), label=\"Student t distribution\")\n",
    "ax2.hist(res, bins=50, density=True, facecolor=\"LightBlue\") \n",
    "ax2.legend(); ax2.set_title(\"Residual histogram\"); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first thing we notice is that, although we removed the outliers, the Normal fit is still not so good.     \n",
    "The distribution is better described by a Student t distribution with "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Degrees of freedom of fitted t distribution:  4.2454945618103554\n"
     ]
    }
   ],
   "source": [
    "print(\"Degrees of freedom of fitted t distribution: \", params[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, it is much easier to mantain the Normal assumption, because it permits to use confidence intervals and... also... the Kalman filter!!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec3'></a>\n",
    "# The Kalman filter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I do not have space and time to explain the meaning and the details of the [Kalman Filter](https://en.wikipedia.org/wiki/Kalman_filter) in this notebook. I assume the reader already has a basic knowledge. Otherwise, for a pedagogical exposition, I suggest to have a look at the tutorial mentioned at the top. The presentation on wikipedia, although very short, is also quite clear.\n",
    "\n",
    "Important things to remember:  the KF (Kalman Filter) assumes a linear dynamics for the true state $\\mathbf x_k$ with $k \\in \\mathbb{N}$, and Normally distributed errors.    \n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\mathbf x_{k} &= \\mathbf F_k \\mathbf x_{k-1} + \\mathbf w_k & \\mbox{with}  \\quad \\mathbf w_k \\sim \\mathcal{N}(0, \\mathbf Q_k)  \\\\\n",
    "\\mathbf z_k &=  \\mathbf H_k \\mathbf x_{k} + \\mathbf v_k  & \\mbox{with}  \\quad \\mathbf v_k \\sim \\mathcal{N}(0, \\mathbf R_k)  \\\\\n",
    "\\\\\\end{aligned}\n",
    "$$\n",
    "\n",
    "The first equation is the **process equation** for the true state,\n",
    "where $\\mathbf F_k$ is the *state transition function* (or matrix), and $\\mathbf w_k$ is the process noise with covariance $\\mathbf Q_k$.     \n",
    "The second equation is the **measurement equation**, where $\\mathbf z_k$ are the measurement of the true state $\\mathbf x_k$. The term $\\mathbf H_k$ is the *measurement function* (or matrix), and $\\mathbf v_k$ is the measurement noise with covariance $\\mathbf R_k$. \n",
    "\n",
    "The Kalman filter equations, taken from [here](https://en.wikipedia.org/wiki/Kalman_filter#Underlying_dynamical_system_model), are:\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "\\text{Predict Step}\\\\\n",
    "\\hat{\\mathbf x}_{k\\mid k-1} &= \\mathbf F_k\\hat{\\mathbf x}_{k-1\\mid k-1}  \\hspace{10em} \\mbox{(a priori) state mean prediction} \\\\\n",
    "\\mathbf P_{k\\mid k-1} &=  \\mathbf F_k \\mathbf P_{k-1\\mid k-1} \\mathbf F_k^\\mathsf T + \\mathbf Q_k \\hspace{6.5em} \\mbox{(a priori) state covariance prediction} \\\\        \t\n",
    "\\\\\n",
    "\\text{Helper variables}\\\\\n",
    "\\tilde{\\mathbf y}_k &= \\mathbf z_k - \\mathbf H_k\\hat{\\mathbf x}_{k\\mid k-1} \\hspace{9.3em} \\mbox{pre-fit residuals}\\\\\n",
    "\\mathbf{S}_k &= \\mathbf H_k \\mathbf P_{k\\mid k-1} \\mathbf H_k^\\mathsf T + \\mathbf R_k \\hspace{8em} \\mbox{pre-fit measurement covariance} \\\\\n",
    "\\mathbf K_k &= \\mathbf P_{k\\mid k-1}\\mathbf H_k^\\mathsf T \\mathbf{S}_k^{-1} \\hspace{10em} \\mbox{Kalman Gain}\\\\\n",
    "\\\\\n",
    "\\text{Update Step}\\\\\n",
    "\\hat{\\mathbf x}_{k\\mid k} &= \\hat{\\mathbf x}_{k\\mid k-1} + \\mathbf K_k\\tilde{\\mathbf y}_k \\hspace{9.4em} \\mbox{(a posteriori) state estimate}\\\\\n",
    "\\mathbf P_{k|k} &= (\\mathbb{1} - \\mathbf K_k \\mathbf H_k) \\mathbf P_{k|k-1} \\hspace{8em} \\mbox{(a posteriori) covariance estimate} \\\\\n",
    "\\\\\n",
    "\\tilde{\\mathbf y}_{k\\mid k} &= \\mathbf z_k - \\mathbf H_k\\hat{\\mathbf x}_{k\\mid k} \\hspace{10em} \\mbox{post-fit residuals}\\\\\n",
    "\\\\\\end{aligned}\n",
    "$$\n",
    "\n",
    "The notation $\\hat {\\mathbf {x} }_{k\\mid k-1}$ represents the (a priori) estimate of $\\mathbf {x}$ at time $k$ given an observation (a measurement) at time $k-1$. Instead, $\\hat {\\mathbf {x} }_{k\\mid k}$ represents the (a posteriori) estimate of $\\mathbf {x}$ at time $k$ given an observation at time $k$.\n",
    "\n",
    "##### Comments:\n",
    "- Residuals are computed in the measurement space.     \n",
    "The variable $\\mathbf x$ needs to be transformed by $\\mathbf H$ before the subtraction with $\\mathbf z$.\n",
    "- The (a priori) covariance is simply the conditional covariance of the process dynamics:\n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\mathbf P_{k\\mid k-1} = \\text{Cov}[\\mathbf x_k \\mid \\mathbf x_{k-1}] &= \\text{Cov}[ \\mathbf F_k \\mathbf x_{k-1} \\mid \\mathbf x_{k-1}] + \\text{Cov}[\\mathbf w_k \\mid \\mathbf x_{k-1}] \\\\\n",
    "                     &= \\mathbf F_k \\, \\text{Cov}[\\mathbf x_{k-1} \\mid \\mathbf x_{k-1}]\\, \\mathbf F_k^T + \\mathbf Q_k \\\\\n",
    "                     &= \\mathbf F_k \\, \\mathbf P_{k-1\\mid k-1}\\, \\mathbf F_k^T + \\mathbf Q_k \n",
    "\\end{aligned}$$\n",
    "- The term $\\mathbf{S}_k$ is the conditional covariance of the measurement.  \n",
    "\n",
    "$$\\begin{aligned}\n",
    "\\mathbf S_{k} = \\text{Cov}[\\mathbf z_k \\mid \\mathbf x_{k-1}] &= \\text{Cov}[ \\mathbf H_k \\mathbf x_{k} \\mid \\mathbf x_{k-1}] + \\text{Cov}[\\mathbf v_k \\mid \\mathbf x_{k-1}] \\\\\n",
    "                     &= \\mathbf H_k \\, \\text{Cov}[\\mathbf x_{k} \\mid \\mathbf x_{k-1}]\\, \\mathbf H_k^T + \\mathbf R_k \n",
    "\\end{aligned}$$\n",
    "- Of course $\\mathbf w_{k}$ and $\\mathbf v_{k}$ are independent of $\\mathbf x_{k-1}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Kalman regression model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us introduce the model for the Kalman regression. \n",
    "The state variable is $\\mathbf x_k = \\bigg( \\begin{array}{c} \\alpha_k \\\\ \\beta_k \\end{array} \\bigg)$. These variables are **hidden** i.e. they are not measurable directly. We can only measure $x_k$ and $y_k$.     \n",
    "#### Notation issue!\n",
    "Here I use the variable $y_k$ to indicate the response variable in the regression and not the residual variable of the Kalman filter. Above I wanted to use the same notation of wikipedia. Below, I indicate the Kalman residuals with `r_k`. \n",
    "\n",
    "The model equations are:\n",
    "##### process equation:\n",
    "$$\n",
    "\\biggl(\\begin{array}{c} \\alpha_k\\\\ \\beta_k \\end{array}\\biggr) = \n",
    "\\biggl(\\begin{array}{cc} 1 & 0\\\\ 0 & 1 \\end{array}\\biggr)\n",
    "\\biggl(\\begin{array}{c} \\alpha_{k-1}\\\\ \\beta_{k-1} \\end{array}\\biggr) \n",
    "+ \\biggl(\\begin{array}{c} \\eta^{\\alpha}_k\\\\ \\eta^{\\beta}_k \\end{array}\\biggr) \\quad \\mbox{with}  \\quad \n",
    "\\biggl(\\begin{array}{c} \\eta^{\\alpha}_k\\\\ \\eta^{\\beta}_k \\end{array}\\biggr) \\sim \\mathcal{N}(0, \\mathbf Q_k) \n",
    "\\quad \\text{and} \\quad \\mathbf Q_k = \\biggl(\\begin{array}{cc} \\sigma^2_{\\alpha} & 0\\\\ 0 & \\sigma^2_{\\beta} \\end{array}\\biggr) $$\n",
    "##### measurement equation:\n",
    "$$\n",
    "y_k =   \\bigl(\\begin{array}{cc} 1 & x_k \\end{array}\\bigr) \\biggl(\\begin{array}{c} \\alpha_k\\\\ \\beta_k \\end{array}\\biggr)\n",
    "+ \\epsilon_k  \\quad \\mbox{with}  \\quad \\epsilon_k \\sim \\mathcal{N}(0, \\sigma^2_{\\epsilon})  \\\\\n",
    "$$\n",
    "\n",
    "We see that the transition matrix is the identity $\\mathbf F_k = \\mathbb 1$, and the measurement matrix is $\\mathbf H_k = \\bigl(\\begin{array}{cc} 1 & x_k \\end{array}\\bigr) $.    \n",
    "We also assume $\\eta^{\\alpha}_k$ and $\\eta^{\\beta}_k$ uncorrelated."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Training set\n",
    "\n",
    "I also rename the columns in order to clarify which column is the X and which is the Y.    \n",
    "I overwrite the variables $X$, $Y$ used before.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "Y = dret.columns[0]\n",
    "X = dret.columns[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "training_size = 250\n",
    "ret_train = dret.iloc[:training_size] \n",
    "ret_test = dret.iloc[training_size:] "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In the training set the OLS estimators of\n",
      "alpha_tr =  0.0001435326347949212\n",
      "beta_tr =  0.9298359718447714\n",
      "var_eps =  8.928703917032679e-05\n"
     ]
    }
   ],
   "source": [
    "beta_tr, alpha_tr, _ ,_ ,_  = ss.linregress(ret_train[X], ret_train[Y])\n",
    "resid_tr = ret_train[Y] - beta_tr * ret_train[X] - alpha_tr\n",
    "var_eps_ols = resid_tr.var(ddof=2)                       # a possible initial guess for var_eps\n",
    "print(\"In the training set the OLS estimators of\") \n",
    "print(\"alpha_tr = \", alpha_tr); print(\"beta_tr = \", beta_tr); print(\"var_eps = \", var_eps_ols) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Rolling alpha and beta\n",
    "\n",
    "Here I calculate the OLS $\\alpha$ and $\\beta$ in the test set, using a rolling window. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "rolling_window = 50\n",
    "rolling_beta = []\n",
    "rolling_std_err = []\n",
    "rolling_alpha = []\n",
    "\n",
    "for i in range( len(ret_test) ):\n",
    "    ret_temp = ret.iloc[ 1+i+training_size-rolling_window : 1+i+training_size ]\n",
    "    beta_temp, alpha_temp , _ ,_ , std_err_temp  = ss.linregress(ret_temp[X],ret_temp[Y])\n",
    "    rolling_beta.append(beta_temp)\n",
    "    rolling_std_err.append(std_err_temp)\n",
    "    rolling_alpha.append(alpha_temp)\n",
    "ret_test = ret_test.assign(ols_beta=np.array(rolling_beta))\n",
    "ret_test = ret_test.assign(ols_std_err=np.array(rolling_std_err))\n",
    "ret_test = ret_test.assign(ols_alpha=np.array(rolling_alpha))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Implementation of the Kalman filter for $\\alpha$ and $\\beta$\n",
    "\n",
    "In the following cell I decided to initialize the state $\\mathbf x_0 = \\bigg( \\begin{array}{c} \\alpha_0\\\\ \\beta_0 \\end{array} \\bigg)$ using the OLS values calculated with the data in the training set. The initial covariance matrix is set to $P_0= 0.1 \\cdot \\mathbb{1}$.    \n",
    "The variance parameters are set to $\\sigma^2_{\\alpha}=0.0000001$ and $\\sigma^2_{\\beta}=0.01$.\n",
    "\n",
    "Intuitively, it makes sense to design the $\\beta$ process dynamics with a standard deviation $\\sigma_{\\beta}=0.1$. The error describes how the beta changes over time, i.e. if $\\sigma_{\\beta}=0$ the beta remains constant, if $\\sigma_{\\beta}=100$ the beta can assume unreasonable values. If, for instance, the current value of beta is $1$, with $68.3\\%$ probability at the next time step the beta will be inside the interval $[0.9, 1.1]$ ( by the [three-sigma rule](https://en.wikipedia.org/wiki/68%E2%80%9395%E2%80%9399.7_rule)).    \n",
    "The same argument works for the choice of the variance of $\\alpha$.\n",
    "\n",
    "The parameter $\\sigma^2_{\\epsilon}$ is set equal to the OLS standard deviation estimate, computed in the training set.  \n",
    "\n",
    "**All these values must be calibrated using the training dataset!**. This is a difficult task because the variables are not observable!      \n",
    "In general, **the filter designer has an important role in the selection of the process and model errors.** \n",
    "The parameters should be chosen in order to avoid overfitting/underfitting and to avoid unrealistic values. \n",
    "\n",
    "Possible methods (but there are more) are:\n",
    "- (1) Using reasonable intuitive assumptions (such as the assumption I used above)\n",
    "- (2) Compute the rolling $\\alpha$ and $\\beta$ in the training set and calculate the variances. Nevertheless, these values will depend on the selected time window.\n",
    "- (3) Using MLE method. Later I will apply it in a simplified model.\n",
    "\n",
    "A useful thing to do, is to create a **validation set**. This is an additional set that can be created as a part of the test set. (I will not make use of it in this notebook, although it can be very useful)       \n",
    "We can run the Kalman filter on the validation set and check if the estimated parameters produce good results.   \n",
    "For instance, we can verify the intuitive assumption in (1), the choice of the rolling window in (2), and the quality of the MLE estimator. In case of bad results, we can repeat the estimation in the training set under different assumptions.\n",
    "\n",
    "#### Important!\n",
    "If you have changed the tickers, the parameters described above need to be changed as well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.array([[alpha_tr],[beta_tr]])        # initial mean of alpha and beta\n",
    "P = 0.1 * np.eye(2)                         # initial covariance of alpha and beta\n",
    "eta_alpha = 0.0000001                       # variance of the alpha process \n",
    "eta_beta = 0.01                             # variance of the beta process\n",
    "Q = np.diag([eta_alpha, eta_beta])          # process covariance matrix \n",
    "R = np.array([[var_eps_ols]])               # variance for the measurement - 1 dim \n",
    "F = np.eye(2)                               # transition matrix\n",
    "H = np.vstack( (np.ones(len(ret_test)), ret_test[X].values) ).T                 # measurement matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "alphas, betas = np.full( len(ret_test), np.NaN ), np.full( len(ret_test), np.NaN )\n",
    "for i,y in enumerate(ret_test[Y]):\n",
    "    # predict\n",
    "    x = F @ x\n",
    "    P = (F @ P @ F.T) + Q\n",
    "    \n",
    "    #update\n",
    "    S = (H[None,i] @ P @ H[None,i].T) + R     # Here S is a scalar\n",
    "    K = (P @ H[None,i].T) @ inv(S)             \n",
    "    r = y - H[None,i]@x                       # residuals\n",
    "    x = x + K @ r                             # v is a scalar. \n",
    "    P = P - K @ H[None,i] @ P                 # K @ H[None,i] is an outer product\n",
    "    \n",
    "    alphas[i] = x[0]; betas[i] = x[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16,6))\n",
    "plt.plot( ret_test.index, alphas, label=\"Kalman Filter\")\n",
    "plt.plot( ret_test[\"ols_alpha\"], label=\"OLS\" )\n",
    "plt.legend(); plt.title(\"Comparison Alphas\"); plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16,6))\n",
    "plt.plot( ret_test.index, betas, label=\"Kalman Filter\")\n",
    "plt.plot( ret_test[\"ols_beta\"], label=\"OLS\" )\n",
    "plt.legend(); plt.title(\"Comparison Beta\"); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Comments\n",
    "\n",
    "- Looking at the two plots above, we can see that the curves are very similar. An important thing to notice is that the OLS is shiftet on the right i.e. **OLS is delayed!** The Kalman estimates can reflect much better the true (spot) value of the state.   \n",
    "- The filter is very robust with respect to initial guesses. If, for instance, you try to set `P = 100 * np.eye(2)`, you will see that it will converge quickly to a \"reasonable\" value. \n",
    "- In the matrix `H[None,i]` I had to use the keyword `None` in order to maintain the information of the array dimensions, `H[None,0].shape = (1,2)`. This is a bad feature of the language. Python automatically removes dimensions of a subarray i.e. `H[0].shape = (2,)`.   \n",
    "- `K @ H[None,i]` is an outer product of dimension $(2,2) = (2,1) \\times (1,2)$.\n",
    "- I used inv(S) to compute the inverse of S. In the notebook **A1** I repeated many times that inverting matrices is bad. But for the Kalman filter, since usually S has small rank (here S is a scalar), we can make an exception :) \n",
    "\n",
    "#### PROS\n",
    "The Kalman filter does not need an entire dataset (or time window) to estimate the current state. **It just needs ONE measurement!**     \n",
    "The OLS estimate, instead, depends on the length of the time window, and it never reflects the spot value of the state because it is affected by past data.\n",
    "#### CONS\n",
    "The Kalman filter performances are strongly dependent on the process and measurement errors!!     \n",
    "These values are not always measurable, and are hard to calibrate. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec3.1'></a>\n",
    "## Kalman regression for the $\\beta$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We have seen that $\\alpha \\approx 0$ and that it does not vary that much.     \n",
    "For this reasons, the parameter alpha is usually not considered as a relevant parameter. \n",
    "##### Comment:\n",
    "This is in accordance with the well known Capital Asset Pricing Model [CAPM](https://en.wikipedia.org/wiki/Capital_asset_pricing_model), that assumes $\\alpha=0$. \n",
    "\n",
    "Therefore we can simplify the process dynamics by assuming that it is a simple constant $\\alpha_k = \\alpha$. For simplicity we can set $\\alpha=0$, but now I want to present the general case $\\alpha \\not= 0$.\n",
    "\n",
    "##### Process equation:\n",
    "$$\n",
    "\\biggl(\\begin{array}{c} \\alpha\\\\ \\beta_k \\end{array}\\biggr) = \n",
    "\\biggl(\\begin{array}{cc} 1 & 0\\\\ 0 & 1 \\end{array}\\biggr)\n",
    "\\biggl(\\begin{array}{c} \\alpha\\\\ \\beta_{k-1} \\end{array}\\biggr) \n",
    "+ \\biggl(\\begin{array}{c} 0\\\\ \\eta_k \\end{array}\\biggr) \\quad \\mbox{with}  \\quad \n",
    "\\eta_k \\sim \\mathcal{N}(0, \\sigma^2_{\\eta}) $$\n",
    "\n",
    "##### Measurement equation:\n",
    "$$\n",
    "y_k =   \\bigl(\\begin{array}{cc} 1 & x_k \\end{array}\\bigr) \\biggl(\\begin{array}{c} \\alpha\\\\ \\beta_k \\end{array}\\biggr)\n",
    "+ \\epsilon_k  \\quad \\mbox{with}  \\quad \\epsilon_k \\sim \\mathcal{N}(0, \\sigma^2_{\\epsilon})  \\\\\n",
    "$$\n",
    "\n",
    "Now, we can obtain a simple expression for the Kalman filter variables:\n",
    "##### Predict:\n",
    "$$ \\beta_{k \\mid k-1} = \\beta_{k-1 \\mid k-1}  \\quad \\text{and} \\quad  P_{k \\mid k-1} = P_{k-1 \\mid k-1} + \\sigma_{\\eta}^2. $$\n",
    "##### Variables:\n",
    "$$ r_k = y_k - \\alpha - \\beta_{k \\mid k-1}  x_k  $$\n",
    "\n",
    "$$ S_k = \\bigl(\\begin{array}{cc} 1 & x_k \\end{array}\\bigr) \n",
    "\\biggl(\\begin{array}{cc} 0 & 0 \\\\ 0 & P_{k \\mid k-1} \\end{array}\\biggr)\n",
    "\\biggl(\\begin{array}{c} 1\\\\ x_k \\end{array}\\biggr) + \\sigma^2_{\\epsilon} \n",
    "= P_{k \\mid k-1} x_k^2 + \\sigma^2_{\\epsilon}\n",
    "$$\n",
    "\n",
    "$$ K_k = \\frac{1}{S_k} \\biggl(\\begin{array}{cc} 0 & 0 \\\\ 0 & P_{k \\mid k-1} \\end{array}\\biggr)\n",
    "\\biggl(\\begin{array}{c} 1\\\\ x_k \\end{array}\\biggr) = \\frac{1}{S_k} \\biggl(\\begin{array}{c} 0\\\\ x_k P_{k \\mid k-1} \\end{array}\\biggr)\n",
    "$$\n",
    "##### Update:\n",
    "$$ \\biggl(\\begin{array}{c} \\alpha\\\\ \\beta_{k \\mid k} \\end{array}\\biggr) =  \n",
    "\\biggl(\\begin{array}{c} \\alpha \\\\ \\beta_{k \\mid k-1} \\end{array}\\biggr) + \\frac{1}{S_k} \\biggl(\\begin{array}{c} 0\\\\ r_k x_k P_{k \\mid k-1} \\end{array}\\biggr)\n",
    "$$\n",
    "\n",
    "$$  \\biggl(\\begin{array}{cc} 0 & 0 \\\\ 0 & P_{k \\mid k} \\end{array}\\biggr) =  \\biggl[\n",
    "\\biggl(\\begin{array}{cc} 1 & 0 \\\\ 0 & 1 \\end{array}\\biggr)\n",
    "- \\frac{1}{S_k} \\biggl(\\begin{array}{c} 0\\\\ x_k P_{k \\mid k-1} \\end{array}\\biggr)\n",
    "\\bigl(\\begin{array}{cc} 1 & x_k \\end{array}\\bigr) \\biggr] \\biggl(\\begin{array}{cc} 0 & 0 \\\\ 0 & P_{k \\mid k-1} \\end{array}\\biggr) \n",
    "$$\n",
    "\n",
    "Considering the beta-component only, the two update equations are:\n",
    "\n",
    "$$ \\beta_{k \\mid k} = \\beta_{k \\mid k-1} + \\frac{1}{S_k} r_k x_k P_{k \\mid k-1} \\quad \\text{and} \\quad \n",
    "P_{k \\mid k} = P_{k \\mid k-1} \\biggl( 1- K_k x_k \\biggr)\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calibration\n",
    "\n",
    "We can calibrate the two parameters $\\sigma_{\\eta}$ and $\\sigma_{\\epsilon}$ using the data of the training set.\n",
    "\n",
    "The idea is to use the MLE method i.e. to maximize the following\n",
    "\n",
    "$$ \\log L(\\sigma_{\\eta},\\sigma_{\\epsilon} \\mid y_k, y_{k-1}, ..., y_1, y_0) = -\\frac{1}{2} \n",
    "\\sum_{k=1}^N \\biggl( \\log 2\\pi + \\log S_k + \\frac{r_k^2}{S_k}  \\biggr)\n",
    "$$\n",
    "\n",
    "which is the log-likelihood of a Normal distribution.     \n",
    "Let us recall that all the measurements are independent.\n",
    "When the measurement equation is \n",
    "\n",
    "$$ y_k = \\alpha + \\beta_k x_k + \\epsilon_k $$ \n",
    "\n",
    "the variables $y_k$ are normally distributed with mean \n",
    "\n",
    "$$\\mathbb{E}[ y_k \\mid \\beta_{k-1,k-1}] = \\alpha + \\beta_{k,k-1} x_k $$ \n",
    "\n",
    "and variance \n",
    "\n",
    "$$\\text{Var}[ y_k \\mid \\beta_{k-1,k-1}] = x_k^2 P_{k,k-1} + \\sigma_{\\epsilon}^2 = S_k.$$\n",
    "\n",
    "The algorithms for the beta regression and the calibration based on the MLE method are implemented in the file [Kalman_filter.py](./functions/Kalman_filter.py)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Calibration using MLE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "      fun: -809.0847592608679\n",
       " hess_inv: <2x2 LbfgsInvHessProduct with dtype=float64>\n",
       "      jac: array([2393.48397599,   18.78975127])\n",
       "  message: b'CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH'\n",
       "     nfev: 66\n",
       "      nit: 10\n",
       "   status: 0\n",
       "  success: True\n",
       "        x: array([1.00000000e-15, 8.89228331e-05])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "KF.calibrate_Kalman_MLE(ret_train[X], ret_train[Y], alpha_tr, beta_tr, var_eps_ols)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Log-likelihood plot\n",
    "\n",
    "Log-likelihood can be ugly functions in general! \n",
    "\n",
    "It is always better (when possible) to visualize the plot. It will be easier to understand if it has a global maximum. In general the log-likelihood can be flat, or can have many local maximum points.\n",
    "\n",
    "In our case the log-likelihood has the following shape:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dimens = 30\n",
    "var_eps_x = np.linspace(1e-6,1e-4,dimens)\n",
    "var_eta_y = np.linspace(1e-6,1e-4,dimens)\n",
    "X_grid, Y_grid = np.meshgrid(var_eps_x,var_eta_y)\n",
    "V_grid = np.ones((dimens,dimens))\n",
    "\n",
    "for i, i_eps in enumerate(var_eps_x):\n",
    "    for j, j_eta in enumerate(var_eta_y):\n",
    "        V_grid[j,i], _ , _ = KF.Kalman_beta(ret_train[X], ret_train[Y], alpha_tr, beta_tr, \n",
    "                                            j_eta, i_eps, 1, True) \n",
    "fig = plt.figure(figsize=(13,6))\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "ax.plot_surface(Y_grid, X_grid, V_grid) #, cmap=cm.ocean\n",
    "ax.set_title(\"Log-likelihood function as function of $\\sigma_{\\eta}^2$ and $\\sigma_{\\epsilon}^2$\")\n",
    "ax.set_xlabel(\"$\\sigma_{\\eta}^2$, var_eta \"); ax.set_ylabel(\"$\\sigma_{\\epsilon}^2$, var_eps\"); \n",
    "ax.set_zlabel(\"log Likelihood\"); \n",
    "ax.view_init(30, 10) # this function rotates the 3d plot\n",
    "plt.show()   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Comments:\n",
    "- The log-likelihood is a decreasing function of $\\sigma_{\\eta}^2$. Therefore the maximum is at $\\sigma_{\\eta}^2 = 0$. \n",
    "The optimizer returns the output $\\sigma_{\\eta}^2 = 10^{-15}$, which is the lowerbound imposed by myself.    \n",
    "\n",
    "Unfortunately this value doesn't make sense. \n",
    "If we use $\\sigma_{\\eta}=0$, it means that we are considering the process model as a perfect model (with no error). \n",
    "The consequence is that the filter will hardly be affected by new measurements (see plot below). \n",
    "\n",
    "- The log-likelihood is concave with respect to $\\sigma_{\\epsilon}^2$ and has a maximum point (for each fixed $\\sigma_{\\eta}^2$). This is very good!      \n",
    "We can see that the MLE estimator is very close to the OLS estimator!!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "beta_last =  0.9298359718451435 P_last =  0.005088003001722189\n",
      "var_eta_MLE =  1e-15 var_eps_MLE =  8.892283314604967e-05 var_eps_OLS =  8.928703917032679e-05\n"
     ]
    }
   ],
   "source": [
    "result = KF.calibrate_Kalman_MLE(ret_train[X], ret_train[Y], alpha_tr, beta_tr, var_eps_ols)\n",
    "var_eta_MLE, var_eps_MLE = result.x\n",
    "\n",
    "# last values of beta and P in the training set. Are used as initial values in the test set \n",
    "_, beta_last, P_last = KF.Kalman_beta(ret_train[X], ret_train[Y], \n",
    "                                         alpha_tr, beta_tr, var_eta_MLE, var_eps_MLE, 1, True)\n",
    "\n",
    "print(\"beta_last = \", beta_last,\"P_last = \", P_last)\n",
    "print(\"var_eta_MLE = \", var_eta_MLE, \"var_eps_MLE = \", var_eps_MLE, \"var_eps_OLS = \", var_eps_ols)\n",
    "\n",
    "betas_KF, Ps_KF = KF.Kalman_beta(ret_test[X], ret_test[Y], alpha_tr, beta_last, var_eta_MLE, var_eps_MLE, \n",
    "                                 P_last)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16,6))\n",
    "plt.plot( ret_test.index, betas, label=\"Kalman Filter alpha-beta\")\n",
    "plt.plot( ret_test[\"ols_beta\"], label=\"OLS\" )\n",
    "plt.plot(ret_test.index, betas_KF, label=\"Kalman filter with MLE $\\sigma_{\\eta}^2$\")\n",
    "plt.legend(); plt.title(\"Comparison Beta using MLE parameters\"); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### NOT GOOD!\n",
    "As I explained before, the Kalman filter considers the process model as *perfect*!    \n",
    "The values of the measurements are almost ignored, and the beta evolution is almost constant."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What about the $R^2$ ? \n",
    "\n",
    "A possible alternative could be to maximize the $R^2$. (it is equivalent to minimize the post-fit residuals)    \n",
    "Let us see if it works.\n",
    "\n",
    "The following function considers a fixed $\\sigma_{\\epsilon}$ and searches for the optimal value of $\\sigma_{\\eta}$ in the range `bounds=[[1e-15,1]]`.\n",
    "\n",
    "There are two reasons to calibrate only one parameter. \n",
    "- The first reason is that we have already seen that $\\sigma_{\\epsilon}$ obtained with OLS is a good value. It also corresponds to the MLE estimate.\n",
    "- The second reason is that the $R^2$ is maximized at $\\sigma_{\\epsilon} = 0$ and for a high value of $\\sigma_{\\eta}$. When the measurement error is zero, it means that the measurements are perfect and the Kalman filter simply selects the values of beta that solve the linear equation $y_k = \\alpha + \\beta_k x_k$. Of course $\\sigma_{\\eta}$ should be big enough to allow fast changes of beta. In this case we have an **overfitting** problem. Using a high $\\sigma_{\\eta}$ also means that our process model has a very low predictive power.\n",
    "\n",
    "Let us see what happens when calibrating only $\\sigma_{\\eta}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "      fun: -0.7042874686291392\n",
       " hess_inv: <1x1 LbfgsInvHessProduct with dtype=float64>\n",
       "      jac: array([-0.07908614])\n",
       "  message: b'CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL'\n",
       "     nfev: 4\n",
       "      nit: 1\n",
       "   status: 0\n",
       "  success: True\n",
       "        x: array([1.])"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "KF.calibrate_Kalman_R2(ret_train[X], ret_train[Y], alpha_tr, beta_tr, var_eps_ols)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `x` value is the upper bound in the parameter range `bounds=[[1e-15,1]]`.   \n",
    "By looking at the picture below, we see that the $R^2$ is an increasing function of $\\sigma_{\\eta}$, i.e. there is no optimal $\\sigma_{\\eta}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xx = np.linspace(0.000001, 10, 100)\n",
    "plt.plot(xx, [KF.Kalman_beta(ret_train[X], ret_train[Y], alpha_tr, beta_tr, \n",
    "                             i, var_eps_ols, 1, False, True) for i in xx], label=\"$R^2$\" )\n",
    "plt.title(\"R squared of the Kalman filter\"); plt.xlabel(\" var_eta\"); plt.legend()\n",
    "plt.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Well... The $R^2$ maximization is not a good idea! It doesn't work.\n",
    "\n",
    "Let us see what happens if we run the Kalman filter in the test set using a big value of $\\sigma_{\\eta}$ and a small value of $\\sigma_{\\epsilon}$ (here I set $\\sigma_{\\epsilon}$ to var_eps_MLE).   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The R squared is:  0.9639112313988956\n"
     ]
    }
   ],
   "source": [
    "var_eta_R2 = 200\n",
    "betas_R2, Ps_R2 = KF.Kalman_beta(ret_test[X], ret_test[Y], alpha_tr, beta_last, var_eta_R2, var_eps_MLE, P_last)\n",
    "\n",
    "print(\"The R squared is: \", KF.Kalman_beta(ret_test[X], ret_test[Y], \n",
    "                                       alpha_tr, beta_last, var_eta_R2, var_eps_MLE, P_last,False,True))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16,6))\n",
    "plt.plot( ret_test.index, betas, label=\"Kalman Filter alpha-beta\")\n",
    "plt.plot( ret_test[\"ols_beta\"], label=\"OLS\" )\n",
    "plt.plot( ret_test.index, betas_R2, label=\"Kalman filter with huge $\\sigma_{\\eta}^2$\")\n",
    "plt.legend(); plt.title(\"Comparison Beta using $R^2$ parameters\"); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The $R^2$ is very close to 1, which means almost a perfect fit. However the obtained values of $\\beta$ are unreasonable. \n",
    "\n",
    "#### Conclusions\n",
    "\n",
    "- We have seen that using the $R^2$ for the calibration is not a good idea because it produces **overfitting**.\n",
    "\n",
    "- The MLE sometimes works, sometimes not. Most of the time, the problematic parameter to estimate is $\\sigma_{\\eta}$.\n",
    "\n",
    "- The OLS estimator for $\\sigma_{\\epsilon}$ is very close to the MLE for $\\sigma_{\\epsilon}$.\n",
    "\n",
    "- The parameter $\\sigma_{\\eta}$ must be chosen by the filter designer, using reasonable assumptions. \n",
    "\n",
    "### Plot of a good filter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The R squared is:  0.5598525754682232\n"
     ]
    }
   ],
   "source": [
    "var_eta_good = 0.01\n",
    "_, beta_start, P_start = KF.Kalman_beta(ret_train[X], ret_train[Y], \n",
    "                                         alpha_tr, beta_tr, var_eta_good, var_eps_ols, 1, True)\n",
    "betas_good, Ps = KF.Kalman_beta(ret_test[X], ret_test[Y], alpha_tr, beta_start, var_eta_good, \n",
    "                                var_eps_ols, P_start)\n",
    "print(\"The R squared is: \", KF.Kalman_beta(ret_test[X], ret_test[Y], \n",
    "                                       alpha_tr, beta_start, var_eta_good, var_eps_ols, P_start,False,True))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>GOOGL</th>\n",
       "      <th>^GSPC</th>\n",
       "      <th>ols_beta</th>\n",
       "      <th>ols_std_err</th>\n",
       "      <th>ols_alpha</th>\n",
       "      <th>Kalman_beta</th>\n",
       "      <th>Kalman_err</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-11-16</th>\n",
       "      <td>0.006199</td>\n",
       "      <td>-0.001584</td>\n",
       "      <td>0.949317</td>\n",
       "      <td>0.154658</td>\n",
       "      <td>-0.000213</td>\n",
       "      <td>1.171344</td>\n",
       "      <td>0.372902</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-11-17</th>\n",
       "      <td>0.007892</td>\n",
       "      <td>0.004665</td>\n",
       "      <td>0.953851</td>\n",
       "      <td>0.156574</td>\n",
       "      <td>-0.000446</td>\n",
       "      <td>1.188506</td>\n",
       "      <td>0.379248</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-11-18</th>\n",
       "      <td>-0.013046</td>\n",
       "      <td>-0.002390</td>\n",
       "      <td>0.948372</td>\n",
       "      <td>0.169485</td>\n",
       "      <td>-0.000989</td>\n",
       "      <td>1.230702</td>\n",
       "      <td>0.390295</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-11-21</th>\n",
       "      <td>0.011315</td>\n",
       "      <td>0.007434</td>\n",
       "      <td>0.995708</td>\n",
       "      <td>0.175753</td>\n",
       "      <td>-0.000775</td>\n",
       "      <td>1.255545</td>\n",
       "      <td>0.384071</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-11-22</th>\n",
       "      <td>0.000255</td>\n",
       "      <td>0.002163</td>\n",
       "      <td>0.991182</td>\n",
       "      <td>0.177171</td>\n",
       "      <td>-0.000622</td>\n",
       "      <td>1.245688</td>\n",
       "      <td>0.395248</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               GOOGL     ^GSPC  ols_beta  ols_std_err  ols_alpha  Kalman_beta  \\\n",
       "Date                                                                            \n",
       "2016-11-16  0.006199 -0.001584  0.949317     0.154658  -0.000213     1.171344   \n",
       "2016-11-17  0.007892  0.004665  0.953851     0.156574  -0.000446     1.188506   \n",
       "2016-11-18 -0.013046 -0.002390  0.948372     0.169485  -0.000989     1.230702   \n",
       "2016-11-21  0.011315  0.007434  0.995708     0.175753  -0.000775     1.255545   \n",
       "2016-11-22  0.000255  0.002163  0.991182     0.177171  -0.000622     1.245688   \n",
       "\n",
       "            Kalman_err  \n",
       "Date                    \n",
       "2016-11-16    0.372902  \n",
       "2016-11-17    0.379248  \n",
       "2016-11-18    0.390295  \n",
       "2016-11-21    0.384071  \n",
       "2016-11-22    0.395248  "
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ret_test = ret_test.assign(Kalman_beta = betas_good)\n",
    "ret_test = ret_test.assign(Kalman_err = np.sqrt(Ps) )\n",
    "ret_test.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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PPPMMc+fO5a677uLnP/85ADfddBM/+tGPmDdvHitXrmTRokUJ9/d6vdHjRJ5HXgeDQYqKili8eDEfffQR/fv3Z+HChXFTh0T2cTqdBIPBLj03YwwXXHABTz31VML1GRkZbe7bsrKsiGCM4X/+53+48MIL49atXLky7vUDDzxAQUEB69evJxwO4/P5OncCx5GOjBE9C/gm8EURWWf/u0RErheR6+1tfgkMAB601/fuPLFSSvWUknXWY9HKlDZDKaWU6krp6em8/PLLPPHEEyxduhSwsn1Dh1o9gP785z93+tjV1dVkZGSQk5NDaWkpr76asDxNl8nKyqKmpgaAWbNm8d5777Fz507A6jLb0ezk8uXLCYfD7Nq1i927dzN+/HguvPBC/vjHPxIIBADYvn07dXV1ce8J1mc3ePBgHA4Hf/nLX465GNLxoN3b78aYd4GkE8MYY64Fru2qRiml1AkjswBqS2HrK3Dy3FS3RimllOoyubm5vPbaa5xzzjnk5eWxaNEiFixYwNChQ5k1axZFRUWdOu60adOYPn06kydPZvTo0dFust3luuuu4+KLL2bw4MG89dZbLFu2jGuuuYampiYA7rzzTsaNG9fuccaPH8+5555LaWkpDz30ED6fj2uvvZY9e/YwY8YMjDHk5+fz97//nalTp+JyuZg2bRoLFy7k+9//Pl/96ldZvnw5c+bMSZp57S3EmNTUDJo5c6bp7QNslVLqmIRDcOdACAdh/CVwTeJuPkoppVRHbdmyhYkTJ6a6GeoElOh3T0Q+NsbMTLT9UU3fopRSqgvVHrKC0MhzpZRSSqkThAaiSimVKtUHrEdvDtRpIKqUUkqpE4cGokoplSrVxdbjkGlQV57atiillFJK9SANRJVSKlUiwefAyRCoh6ba1LZHKaWUUqqHaCCqlFKpErSq7dFvuPWo3XOVUkopdYLQQFQppVIl5Lcec4ZZj9o9VymllFInCA1ElVIqVSKBaLYdiGrlXKWUUn1AcXEx8+fPZ+zYsYwZM4abb74Zv9/6P2/lypVcdtllrfZ5+eWXmT59OtOmTWPSpEk8/PDDrbZZtGgRixcv7nA7KisrefDBBzt/IqpbaSCqlFKpEmwCBAaMtl6XbU1pc5RSSqljZYzhiiuu4Mtf/jI7duxg+/bt1NbWctttt7W5TyAQ4LrrruOll15i/fr1fPrpp5x33nnH3BYNRI9vGogqpVSqhPzg8kJafxhwMuz/ONUtUkoppY7Jm2++ic/n49vf/jYATqeTBx54gEcffZT6+vqE+9TU1BAMBhkwYAAAXq+X8ePHJ9x2/fr1fPGLX2Ts2LH86U9/ii7/7W9/y6mnnsrUqVO5/fbbAbj11lvZtWsXhYWF3HLLLdTW1nL++eczY8YMpkyZwgsvvNCVp66OkivVDVBKqRNWyA9Or/V82Kmw8w0wBkRS2y6llFJ9w6u3wsGNXXvMQVPg4rvbXL1p0ya+8IUvxC3Lzs7mpJNOYufOnQn3yc3NZd68eYwYMYLzzz+fyy67jGuuuQaHo3XObMOGDaxevZq6ujqmT5/OpZdeymeffcaOHTv48MMPMcYwb9483n77be6++24+++wz1q1bB0AwGOT5558nOzub8vJyZs2axbx58xD9fzclNCOqlFKpEmwCp9t6PrjQqppbV5baNinVRSrr/dz2/EYa/KFUN0Up1YOMMQkDu7aWRyxZsoQ33niD0047jcWLF/Od73wn4Xbz588nLS2NvLw85syZw4cffsiKFStYsWIF06dPZ8aMGWzdupUdO3YkbMPPf/5zpk6dyty5c9m/fz+lpaWdP1l1TDQjqpRSqRLpmgvgzbIeAw2pa49SXWjltjKeWLOX+YVDOW1Ubqqbo9SJKUnmsrtMnjyZv/3tb3HLqqur2bdvH2PGjKGioqLNfadMmcKUKVP45je/yahRo1i2bFmrbVoGsyKCMYaf/exnfO9734tbt2fPnrjXTzzxBGVlZXz88ce43W5GjhxJY2Pj0Z2g6jKaEVVKqVQJ+cHpsZ5HHkOB1LVHqS60u7wOAH8wnOKWKKV60vnnn099fT2PPfYYAKFQiB//+McsXLiQ9PT0hPvU1taycuXK6Ot169YxYsSIhNu+8MILNDY2UlFRwcqVKzn11FO58MILefTRR6mtrQVg//79HDp0iKysLGpqaqL7VlVVMXDgQNxuN2+99Raff/55F5216gzNiCqlVKoEm5ozok77z3FYA1HVNxTZgWhTULvmKnUiERGef/55vv/97/PrX/+acDjMJZdcwl133RXd5o033mDYsGHR10899RT33nsv3/ve90hLSyMjIyNhNhTgtNNO49JLL2Xv3r384he/YMiQIQwZMoQtW7ZwxhlnAJCZmcnjjz/OmDFjOOusszjllFO4+OKL+elPf8rll1/OzJkzKSwsZMKECd36WajkNBBVSqlUCfmbx4hGM6L+1LVHqS60o2IvaSc9yuHGk4GCVDdHKdWDhg8fzksvvZRw3XnnnUdDQ+thKLNnz273uIsWLWpz3c0338zNN9/cavmTTz4Z9/qDDz5o931Uz9CuuUoplSqxVXMddkAaCqauPUp1EWMM++o34crYTXHt7lQ3Ryml1HFIA1GllEqVYEyxokhmVDOiqg84VNNEQA4D0BDQ32mllFKtaSCqlFJJLHuviHte29o9Bw81xRQrsgNRHSOq+oDdZXWIuxKAxmBTilujlFLqeKSBqFJKJfH8jpd5fPPjGGO6/uDBpgRVczV7pHq/ovI6HK4qABpDGogqpZRqTQNRpZRKooLVhHPeYO/h+q4/eCgALjsAddi143SMqOoDisprcXjsjGhAA1GllFKtaSCqlFJJGAwOVy0f7OmGucZCTc3FijQjqvqQovI6nG7NiCqllGqbBqJKKdUBHxRv7PqDBv06RlT1STsrKjAOa3oGv95cUeqEk5mZGX3+yiuvMHbsWPbu3dvm9suWLePGG2/siaYBsHLlSnJycigsLKSwsJC5c+cC8NBDD/HYY48BsHDhQp599lkAfve731Ff3w09o+jYuR/r57Ny5Uouu+yyo9qnO885QgNRpZRKwpgwAFsrtiXdrt4f5P97aydlNUeR/Qn5m7vmRqvmaiCqerdgKMz+6pLo6ybNiCp1wnrjjTe46aabeO211zjppJNS3Zw4s2fPZt26daxbt47XX38dgOuvv55vfetbrbbtTFAWCoW6pJ2pooGoUkodJ0oaijDGUO8P8t7Ocv7fe0VxBYzufW0bv/2/bfzk2fUdP2hs11yHTt+i+obiIw2EnUeirzUjqtSJ6Z133uG73/0u//jHPxgzZgwAL730EqeffjrTp09n7ty5lJaWttpv4cKF3HDDDcyZM4fRo0ezatUqvvOd7zBx4kQWLlwY3e6GG25g5syZTJ48mdtvvz26fOTIkdx+++3MmDGDKVOmsHVrxyvfL1q0iMWLF8ct+8Mf/sCBAweYM2cOc+bMAWDFihWcccYZzJgxgwULFlBbWxt97zvuuIOzzz6b5cuXxx2no+d+/fXXM3v2bMaNG8fLL78cXXfgwAEuuugixo4dy09+8pN2P4eWqqur+cpXvsKkSZO4/vrrCYfDbZ5LonPu6PscDVeXHEUppfoogxVsBl372V/ZwDV/Ws2+w1aXw1mjBzBxcDbGGJ5Zuxdnxjbe2u7nza2lfHFCQfsHD8ZmRCNjRDUjqnq3ovI6HPbULQD+sAaiSqXKPR/ew9bDXTsF2YTcCfz0tJ8m3aapqYn58+ezcuVKJkyYEF1+9tlns3r1akSEJUuWcO+993Lfffe12v/IkSO8+eabvPjii1x++eW89957LFmyhFNPPZV169ZRWFjIb37zG3JzcwmFQpx//vls2LCBqVOnApCXl8cnn3zCgw8+yOLFi1myZEmr93jnnXcoLCwEYMGCBdx2220Jz+WHP/wh999/P2+99RZ5eXmUl5dz55138vrrr5ORkcE999zD/fffzy9/+UsAfD4f7777bqvjdPTc9+zZw6pVq9i1axdz5sxh586dAKxbt45PP/0Ur9fL+PHjuemmmxg+fHjSzyHWhx9+yObNmxkxYgQXXXQRzz33HOedd16b5xJ7zkCH3+doaCCqlFJJRAJRh/cQ7+wsZd/hBvIyvZTXNvHujnImDs6muiFIk2cT6cP/jLdpGr94IZszRueR5nEmP3iieUQ1EFW93O7yOsRdhQMHYSMENBBV6oTjdrs588wzWbp0Kb///e+jy4uLi7n66qspKSnB7/czatSohPtffvnliAhTpkyhoKCAKVOmADB58mT27NlDYWEhzzzzDI888gjBYJCSkhI2b94cDYyuuOIKAL7whS/w3HPPJXyP2bNnx2UcO2r16tVs3ryZs846CwC/388ZZ5wRXX/11Vcn3K+j537VVVfhcDgYO3Yso0ePjmZ0zz//fHJycgCYNGkSn3/+OcOHD0/6OcQ67bTTGD16NADXXHMN7777Lj6fL+m5xOro+xwNDUSVUiopKxAVCfHipnWAhzvmT+a+Fdt4d2c53z1nNCXVDbhz1uLAQZN3PdWOV1n2/khuOG9M24cNh8CEY6rmarEi1Tccqm7E5aliYPpADtVVaSCqVAq1l7nsLg6Hg2eeeYa5c+dy11138fOf/xyAm266iR/96EfMmzePlStXsmjRooT7e73e6HEizyOvg8EgRUVFLF68mI8++oj+/fuzcOFCGhsbW+3vdDoJBrt2WjRjDBdccAFPPfVUwvUZGRkJl3f03EUk4evYzyFyXm19DmvWrOF73/seAHfccQfZ2dkJj9veuUS093l3lo4RVUqppAwOkw7ARwc248zYxpojTzFjNKwpqqApGKKkqhFXxi7OGXwpF4+6GG/+Cj448EHywwbtAi7ReUR1jKjqG/yhME53JYMyBiG4CfaFmyu1hyDQkOpWKNWrpKen8/LLL/PEE0+wdOlSAKqqqhg6dCgAf/7znzt97OrqajIyMsjJyaG0tJRXX321S9rclqysLGpqagCYNWsW7733XrTLbH19Pdu3b2/3GB099+XLlxMOh9m1axe7d+9m/PjxbW7b1udw+umnRwsxzZs3D7C65hYVFREOh3n66ac5++yzk55L7Dl31+etGVGllErCYPCaQTTK5zh9xbj7r+a5oiCZrudpDN3MJ59Xsr+yBnE2clLOEG78wr/xf7vf5vOm94BvtH3gSCXRVl1zu/bOrVI9ZWNxFV63g0AoDK5KBmeMYxP7CJo+cHNl6QUwcR586depbolSvUpubi6vvfYa55xzDnl5eSxatIgFCxYwdOhQZs2aRVFRUaeOO23aNKZPn87kyZMZPXp0tGtpd7nuuuu4+OKLGTx4MG+99RbLli3jmmuuoanJ+r/8zjvvZNy4cUmP0dFzHz9+POeeey6lpaU89NBD+Hy+No95NJ/DGWecwa233srGjRs555xz+MpXvoLD4WjzXFqec3d83hJb9bEnzZw506xduzYl762UUh11+qNXgAhZaQFKag/jcFfxtfFf46/b/oq/dB7XTvsmTaaKp0uv5Wen3ca/TPwap//5EsKBfnx07ZNtH7j2ECweC5cshtO+ay37VX84+0dw/i965uSU6kJf/eP7ZPtcDMzy8ErtQr59yrd46rNXcQaHsvraZalu3rG5aygMmgrf6d6si1JdYcuWLUycODHVzVCdsHDhQi677DKuvPLKVDelUxL97onIx8aYmYm2b7drrogMF5G3RGSLiGwSkZsTbCMi8gcR2SkiG0RkRqfPQCmljiMGgyDMHDIZh7sKgKvHX82UvClk5n/EOzvL2V9dDkBuWj8A0p05NIWrkx842jW3ecwHTo+OEVW9VmMgRHVjkNpQFUiIQRmDcIibkOkDv9MhP5RughTdvFdKqb6oI2NEg8CPjTETgVnAD0RkUottLgbG2v+uA/7Ypa1USqkUiQSiU/JPiS4bmTOSBeMW4HeUsLniU9bt3w9AP68ViGa6cwhJLeFwkovWyFhQZ0wg6nBr1VzVa4XChrqmIHVB68bMoIxBOMVNqLd3zTXG+l42VUH1/lS3RinVhy1btqzXZkM7o91A1BhTYoz5xH5eA2wBhrbYbD7wmLGsBvqJyOAub61SSvU4AwhXjmwkRlUAACAASURBVLuSUTmjOG3QabgcLi4adRHprkxc/dZQVn8EgP7e/gD08+YizlqqGpIEldFA1N28zKmBqOq9wsZQ7w9RF7YC0cEZg3GJmzC9fNxzOESkejalm1PaFKWU6kuOqmquiIwEpgNrWqwaCuyLeV1M62BVKaV6JUHwOr08N+85HrrgIQDSXGl8Zex8XNmf4fCUApDjteb3GpDWH3E2cbC6pu2DttU1V6vmql4qkhGtD1cAVkbU5fAQppffXIntLn9oU+raodRRSFUNGHXi6szvXIcDURHJBP4G/LsxpuXgJ0mwS6vWiMh1IrJWRNaWlZUdXUuVUioFDAbsubdcDhduR3MG8ysnfwWREIOGbgGau+YWZAwAoKjyUNsHTtQ11+mGcC/PHqkTVthAnT9IU7gSjJN+3n64pQ8EorE3h0o1EFXHP5/PR0VFhQajqscYY6ioqEha4TeRDk3fIiJurCD0CWPMcwk2KQaGx7weBhxI0MhHgEfAqpp7VC1VSqmUsMaIJjKm3xjcDjdHAsX4nD58LusP8ODMfIBoEaOEWs4jCnbXXM2Iqt4pFDY0BsIEwwHE6UJE8Lk8hAlSWe+nX7qn/YMcj2KnVNKuuaoXGDZsGMXFxWjSR/Ukn8/HsGHDjmqfdgNRERFgKbDFGHN/G5u9CNwoIn8FTgeqjDElR9USpZQ6Dhl7jGgiLoeLkTkj2XFkR7RbLkB+ei4ARxoPt33gaEY05uJcixWpXixkF+dqCgURpxOAgqxMdlYFWb27gotO6aWlIyLf1bT+UL7d+o7Gju1W6jjjdrsZNWpUqpuhVLs60jX3LOCbwBdFZJ397xIRuV5Erre3eQXYDewE/gR8v3uaq5RSPa3tjCjAyOyRAAzNbB4Wn5dmFS2q9ieZwiVRIOr0aCCqeq1oIBoM4KA5EBVHkPd2VqSyaccm8l0dPM0aL1q+I7XtUUqpPqLdjKgx5l3aSgc0b2OAH3RVo5RS6nhh2glEc31W9vNfJ/9rdFmmNw2AhmBj2wdOWKzIpfOIql4rZCIZ0QBe+z63z+XF5Qyx6UBVKpt2TPbW7KPe42bC4ELYvdIaJ1rQchY7pZRSR6tDY0SVUuqEZZqLFSXyg8IfMH3gdOYMnxNdlu1NB6AxWSAayXy2yojqGFHVO0XmzQ2FQ4hYGVGv04uRAAerknwXjnOXvnUDDB3MxoGTrO7zhzYBC1LdLKWU6vWOavoWpZQ68ZikXUL6+/pz6ehLkZhgNScaiDa1vWPIXtdqjKhWzVW9UyQjioSjXXPz0/MJ4+dQfVm0626v5UmHvHFasEgppbqIBqJKKZWEdel8dH8q0zxW9dzGUJJANGHXXK2aq3qv5kAzhMPOiM4cNNNalLaLQzW9NysKWDeNBoyBI0WpbolSSvUJ2jVXKaWSSj5GNBG3ww3GgT+UrGtuomJFbh0jqnqtcPYbuNPcdkbUuryY0H8Cac4M/Om7OFDZyOCctBS3svP8gMeXjWmqPcq/CEoppRLRjKhSSiWVvGtu27u5aUqWEdWquaqvydiAK+szKxC1M6JOh5PR2eNxeg/16nGiANUmCJ5Maqorue35jalujlJK9XoaiCqlVBIGEzf+s6PEuPGHk3XNtQPR2K65DpcGoqoXM4gjgEhz11yAIVkFiKuWkqqGFLbt2FWH/fid6aTTyBNrPk91c5RSqtfTQFQppZIytDODVUKCm0CyQDTUZB3XETNCQqvmqt5MwiB+IIwzJhAdlJGPuKqpbji+brIEw0EO1h3s8PaH/A0cDrhpchgK0rSomFJKHSsNRJVSKqmjHyMK4MBD0LTTNdfpiZ8axumGsF7gqt7HGIMhjDgCcV1zAfLT8xBHgNpAXQpb2NrzO59n3t/nUR+oT76hXYOppL6esiYXs0YOxzN0efc3UCml+jgNRJVSqh0iR/+n0omHYDhJdjPoj++WC1o1V/VaYQNCGBx+kFBcRjQvLQ+AKv/hVDUvoV2Vu2gINnCk6UjS7Zxhq9dCaUM9mxqt7sVV7s+6vX1KKdXXaSCqlFJJGDo396FTPARNkqAy1BRfqAjseUSPr+6LSnVEKGxAwoj4EcI4pbnL+YC0AQDUBI6vQDTSLbeqqSrpdh7jBqC0sY7VNYcAyGNI9zZOKaVOADp9i1JKJdW5rrlO8bRfrKhVRlSr5qreKWysQBS7a26ijGhdMHnmsadFAtHKpsqk23mNiwbg9d27CLMffJBL/x5ooVJK9W0aiCqlVFIG6UTnEZd4aKCm7Q1CfqsrbiynS7vmql4pFDZAGBEDjiacjtaBaG3o+AxEq5uqk27nssdxV2atiS5zhkPd1zCllDpBaNdcpZRKwnRyHlG3w0uY9rrmJsiIhjUjqnqfUCQjCoizEVdMNehsTzYAjaHjp1iRP+SnorECaD8jarDO67ScOTx31m8pCAZxGC0qppRSx0ozokop1Z5OzCPqdngxJAkqg35wJRgjasIQDkFMRkmp4104bIiUlxVHI66YMaIuhwuMI/l0Rj3sUP2h6PP2xogaDBfU1XP/1XdCw2EcgBi9YaSUUsdKM6JKKZVU58aIuh0ejCS5WA35E2RE7a66Ok5U9TKhsEHE6q4qjkBcRhSs6YyOp0A0dv7QaEZ05xvw+iKo3Bu3rSGM0xjr++nJwmHQjKhSSnUBzYgqpVQy0rlA1Ov0YiRZ11x/66q50UDUD27fUb+nUqkSMs0ZUQBXi4y+Na/u8TP++WC9FYgKQrXfHiP6xh1Qsg4CjXDx3dFtDQYnWN9Xj9j7aSCqlFLHSjOiSimVlOnUPKJehw8kiDFtTP8SbGrdNTcSmIb1Ilf1LuEw0TGiAM4WGVGnuI+vQNTOiI7IHmFlRAMNUGrPDdoYP2bUYHAYrO7yLq/dNVe/o0opdaw0EFVKqaQ6V6zI6/IhEqY+0Nwdcf2+Sg5VN1ovEhUrily8a+Vc1ctYGdHmQNTdIhB1iZdQ+Pj5vT5Yd5BsTzYFGQXWGNGS9c03gJriq12HCTf3ihABRLvmKqVUF9CuuUoplYTBIJ0oVuSzg8zqpgYyPFY32/l/fAPCLm69+BSuqa0nJ6fl9C12RlTHiKpeJhQycRnRloGoUzyEklWR7iH7a/fz5t43Ka0rZVDGIPp5+7Gtbhus/iMgkDsKWkznYlp0zw/jxBOu7+GWK6VU36MZUaWUakdn5hH1uazgs6rBumANhw1Z4xeRPvIh7n51K4erajjib3Hc2DGiSvUiwbA9h6itZbEit3gIJ6si3UOe3PIk9350L+vK1jEoYxA5nhyq6stg89/h/F9A7phWGVGDwRHzNyCIG2/4+JmKRimleisNRJVSKqk2xni2I90uNlTVZAWi1Y3WRbgzrZhvXbKR1VmGtcV1BEPNWaRoIKpjRFUvEwjF/866nS0C0fbm1e0hG8o2AFal3EHpg8jx5lAVrCOckQ9n/hC8WQkCUeIyokHcuPFDY3zmVCml1NHRQFQppZLqXNfcSCBabQeiJdXNBVCeL3qC+/M8HGgIsez9Pc07OTQjqnqnoAnFvXa3qJobmc7Imm80NQKhAFsOb4m+Hp87nhxxEQZqT7nCuhGUIBANi4nrFREQj3V7qmxbzzRcKaX6KA1ElVIqKdOprrkZ7jQAapoaACiuLgPg6pE/5pELHqHRIRweaLhvxXbq/XY2SceIql7KH4zPiA7Kzoh77XF6QQL4Y3sA9LDtR7bTFGouHjZr8Cz6lW4FoGrCxdbChBnR+L8BQfFYZZnKtnZ3k5VSqk/TQFQppZLqXNXcTK8ViNbagWhJTQUAgzLzmDloJjmhMDuy62kIhKhuiASikaq5Goiq3iUQjs+Iel3xhbg8Ti8iARoD8dv1pA3lG+JeD88cRs7nqwGoysq3FnqzIVAPMV2NDcRN4RTEQ0gcGogqpdQx0qq5SinVjs7MI5rlSQeg1m8FoqX1RwAYlJmL2+HmvPoG/plVAQQxkXGo0XlENRBVvUuwxbjmlsWKvE4vOII0BlKXEd1YtpEBvgE8fMHDNAQbkIPr6Xe4CIYMsqZwASsjCuCvgbT+AIQxhKU5sBYc1EuaBqJKKXWMNCOqlFJJxU/d0FFZdkb01U37WLvnMBX1hwEYmp0P4RAX1NVRTxBnxi6iw+Z0jKjqpQKh+EynS+IDUZ+dEW0KpjYjOjVvKsMyxlA4sBB2vk522AqMK5vsMdyRQDTSPTcUxIih3pUXd6wGRxoc0kBUKaWOhQaiSimVjHQuEM22A9EieYRvP3c/OysOATAsOw9CfmY1NuLDhSt7I8a0yIiGtGqu6l1aZkSdLYoV+Vy+aEa03h/k7le3sqe856ZAqWys5PPqzxH/SZx595tWF+HDRfRLs7rktsqIRgLR0s+sYkaeguixBAcNkgbVxa3GkyqllOo4DUSVUioJa3xYJwJRn9U1V5x+GPACm2vewBhhQHoOBJvwGih0DsGVuZlgqOUYUc2Iqt7F3+LmiVNaB6IiIRoCflbvruChVbs4b/HK+OmLutHG8o1WO+uGU9UQ4HCdHw4Xkd1vJABV/sSBqNn3IUYkLhBFhEAk41tf0RPNV0qpPkkDUaWUSqpzGdEcb3r0uRgnTl8JjnA6DnFEixGNcw3G4arnSJM1flTHiKreqmWxopZjRHPsGzP7jlRT1dD8+729tLb7GwesKl6FINTVDALgSL0fjhThyh1NpjuzOSPqy7Ee7TlCQ2XWdC9+V3b0WIIQjFw+aUZUKaU6TQNRpZRKqnPziEYuvAFmD7yKAZ7hDPDZWRV7CgmnnVUJ2ePUmseIaiCqepdQO4HoSf2sAG/9/rLmKtHAun2VdLfndzzP09ueZnzueA7Y93xqqmugpoS11TnkeHOaA9HsIdbjkSIAwuXbgfgMb1wgagesSimljp4Gokr1Uu/uKGfnoZ7JJpzYOpcRTbfnEQUYlDGEf1y5nOVfWWotCNpzGdqBZzhaNVcDUdU7Bdqpmpvh8QGw8UB5NCOa6XWxbt+Rbm/bBwc+AOD+c++n+Eg9AP7yXQA8tlXIcGU3FyvKGgyZBXDgUwCC5TsAcMQVXxJCkcC0SQNRpZTqLA1EleqlvrF0DXPvX5XqZpwQOpMRjb0Qz/VlkeHOIC/NrrwZGQNqbxMydjbJqVVzVe8UtKvmehxeoPUYUa/LWr655DCV9QHSPU4mD8mmqJsLFr225zVe3fMqF4y4AK/kR6eP8RxcC8AmMxKfI4vqSEApAkOmw/5PoKGScJ1VZMzpaL5cEhwEIzenNCOqlFKd1m4gKiKPisghEfmsjfU5IvKSiKwXkU0i8u2ub6ZSSqVIJ6vmxgaveRnZ8SsjgaadZTGRei3RMaJaNVf1LkG7a26aKwNIUDXXaWVE6wINbCiuJNvnpn+6J268aFczxnDLqlsAmDRgEvsON0TXZRxYTZnJYZcZgksymjOiYAWi5dvh4AZC9tfYKbGBqBCKjhHVQFQppTqrIxnRZcBFSdb/ANhsjJkGnAfcJyKeY2+aUioZd781ONN3pboZJ4DOjRGNlZeeE78gGMmIWhnQaEbUoVVzVe8UNJFA1Bob7RZ33HqfywpExeHn033luHPWkp0mVNY3B6LVjQFuWb6emsauCU794ebv0TnDzol2ywXIrfiYNeEJgCDhjOaquQBDZgAGdqwgbN+EcsSOERUhFM2IxuynlFLqqLQbiBpj3gYOJ9sEyBLrSi3T3lZv5yvVzXyDnyd9xJ+a56BU3aRzGdFYAzNbBKKh+DGihpbziOoYUdUL+Ougci9AdAqiDFcm0DojOiJ7BAC+jFIkYwuVmY+zO/x0XEb04VW7WP5xMY998HmXNK8uYHX7/dlpP2Nc/3HsO2wFonkeP0Olgqa8KQCEg2lUN1U3F1waUmg9bnuNSAmm2IwoCGEBnF4rI1pbBp88Bvq3uEvtqtzFjiM7Ut0MpVQ36ooxov8LTAQOABuBm40xPTMxmFKKmia979Pdjj0jmrhrrkQyopGquRqInvDCYcP+yob2NzwePDYffmcFc5GMaHqka26LMaLDMoeRl5ZH/9wD4LBuxGxreIWmYIjGgLVvQ7ABb8GLhExT2+/pr4NXbunQ2MxIIJrhttq073ADeZleBgYOADB+0lT6p7sJ+H0YDLUBu/hb5kDIHgYVOwjb3/34qrkOK+j0ZVvt+L+fwYs3Qdm2dtukOu7LL3yZK168ItXNUEp1o64IRC8E1gFDgELgf0UkO9GGInKdiKwVkbVlZWVd8NZKnZhis6CHqhtT2JK+T8TgOMY/ldneFn8S7a65Yo8RDUd+npEsks4jesJ6eWMJ5977Fnsr6tvfONWKP4o+DdgZ0XQ76GtZNVdEmD5wOkH3bsTZXKBIXJXR7rmb6l7Ak/s+m2pfafs9962BDx+xHttRH7A+w2ggeqSe4blpnCRWAaKxE6ZSkO2jocnqNhw3TnTodABCvv5A6665BgPebCheCxufbfV5KKWUal9XBKLfBp4zlp1AETAh0YbGmEeMMTONMTPz8/O74K2VOjGFws2BaElVL8me9ELNAf+xZUTTXGnxC+yuuSZaNdfOiIpYWVEdI3rC2rS/imDY8ObW0lQ3peOMiXZrjXTNbRmIAkwfOJ26cBlOb0l0mdN3INo9N2iP6XQkuzKJjMkMtP93L5IRTXdb41b3HalneP90vj/V+j5788eQn+Wlrt7qiRCdSxSsgkVAIMOqdB1fNdcORH3ZULoRvFl2UKqBaHfQ4SdK9V1dEYjuBc4HEJECYDywuwuOq5RqQyDU/B/z7sOHUtiSvi1sB4jH2jXXIS3+1EaKFdnTtcRdaDnc2jX3BLatrBR3v9Ws3N6LAtFQgIAdiGZ67DGiLbrmghWIAriytuKRDAQHDt8BKuut70Oke2/L8aVxGuysZbD9niCRQPT1zyoJhsIcqGxkeG4aU9MrICMffNkUZPuoqrO+h60q5wLBdDsQbTFGlEhGFOCMH8Dw02DPOzpOtBtEfi57q/dS+Fgh68vWp7hFSqmu0pHpW54CPgDGi0ixiPybiFwvItfbm/waOFNENgJvAD81xpR3X5OVUv5QKPp8W/m+FLakbwvbmWfHMWZEW4mOEfXY7xMzrN6pgeiJbFvtm/gG/501Bz6Njp087oUD0crPub4BQHNAGmt87nh8Lh/ibGBo1hAGpw/H4Suh0s6IRr4H7gRBbFQ0I9p+1+XqphoAlr17kJLKelzhJob380HRO1AwGYCBWV6O1FrvFwlcgWggGkrPBeKD42hGNCMf0vrDrBtg8hVweDcUvd1uu9TROVRv3Wx9d/+7hEyIB9c9mOIWKaW6Skeq5l5jjBlsjHEbY4YZY5YaYx4yxjxkrz9gjPmSMWaKMeYUY8zj3d9spU5sDYHmrpu7j5Qk2VIdi0iGhk5mRMf1H5d4RbRqrj1GlJgsitOtXXNPAA3+EO/uiL9nGwyFqQpbFWND3m2sKUpWsD7FgjEFhUL+6DyiMwaeyuOXPJ7wd9/tcDPFrlRbkDGAYVnDcbiPUGWPEQ0Za5xp0oxoNBBtPyN6uMEKRE3Yi+cfP2SL99t8+e1L4UgRTP8mYAWiwaAXgBp/TfPOaf1h1g9oGPlFq00xwbHVw8HAl34N31kBvhw45Qprn0/1EqirlTdY35OD9QcB2Hp4q3bXVaqP6IquuUqpHtYYbM6Y7a85kMKW9G2Ra53OTt/y18v+ytpvrLUOtP5p+Ow5a0WkWJEzMo9obEbUo8WKTgC/emkT31i6hp2HmoOfPRV14LG+z+7MHby9/Tgu6lcX07ZQIHrTxuNwMy1/Wpu7FeZbU6P09/ZnSGYB4qqhssH6PkS6wrsTjC+NarS7z3YgIxobiJoD69hjCggXnALjLoaJ8wAoyPZhQlYgGpcRBbjoLhqGnAqAIy44FgxhyB4C+XbA7U6D8ZfAjv9r7tGw+UVYlNOhCr+qbWUN1u/arkpr3uzDjYepaKxIZZOUUl1EA1GleqF6f3M24rB/n94d7iaRaratxnh2kNvhxltbBo9/FZ6/Dlb8wlrRomtu/BhRl3bNPQHsLrOCnvLa5uz36qJDOLxleJ0+HL59bDl0HI8TrY1pWyhA2M6IupxJspnAjIIZAPT3WYGow1XLp3utoCLUkTGikYxoG2NE3yl+hztX38nuyt1UNtrTsYQ9pDcc4B0zFffXn4J/+Su4rO/ewGwvGA+Co3n6lhhBu7uwS2KLFdkZ0ZbGX2y1b+9q6/Wbv7YejxS1fT4qoUDMzbhHNjzCAx8/wMayjficVoXj0rrj+LuhlOowDUSV6oWaYgKVsLuU0uok8+6pTot0N4zLh9YctLIckYvNtoTDUFcByy6DvR9YY85qD1rLW3TNDYVbZEQ1EO3zPC7rv9+mYPPPftXuzxAJccXJXwExFNV+mqrmta86ZkhAyE8wbHWr9STLZgLT8qfhcXgYnDGYgekDAXh79y4aA6FoICrJLk0akmdEl362lKe3Pc1/rPwPDjdUYsJuzhjqI1saKA7n4XbGH3tglg8QvI701hlRiBZhiquaK3axopYGTrIeq+1eKpFguaGy9bYqqaaYrt+VTZX8ZfNfqPHXMP/k+QAcrDuYqqYppbpQ8v8xlFLHpcZgcxbF4TnE7vJaBuX4Utiivsq62IyrmnvADg7eXgzfeLbtXT98GF671Xp+6X1WAHrgFqivaO6aG8mI6hjRE47XDkTrmoK8te0Qy9fu4519G3EPhivHX8mz2/9OpdlCKGxwOrq4WFZXKN/e/DzUXKyovYxolieL5fOWMzhjMB8dtKY7aQhX8t7OcsImBALGJAlE2xkjWtlYiVPc7K7azYGag5iwl0XnZMHzUHjKKa22z8+yuuW6xEetv3VGNDItTewY0WixopacHnsnf3wb647jLtbHqcaQ9dndMvNnfGvyv0SXVzRU8PS2p6PjRZVSvZtmRJXqhSKBaK57GA53DVtKDxEOG3aVtb6QUp0Xma5VYrvmZlhZHKqKm5cd2QOlm+J3js2YnnQmZA2ynteUWBlRpxeHHWDEjxF1g51dUn2XOGtx93+X9fsq+fb/+4g1uw8zaWQtHoeX0TmjKfCNAncpByp7fp7gVdvLqGlsJytfvqP5eTgQDdjc7QSiAKNzRpPmSotmRDPS63jts4PRMaKYJIF3dIxo4s+lvOEwDYenk2MKaQzXQ9jLgKDVjfPS2ae32t7ndpKT5sZh0trommsH2DGZ3jYzotFAtCm+jRqIHrVGO5t8x4s74pbn+nLxODyaEVWqj9BAVKleqDFgXSSOyDoZgI2l23lh/X4uuH8VZTXaTberNHfNTXBhXL2/+fmDZ8Ifz4QP/wT2lBH4spvX50+wCpuA1bU3FACXF4f9J7j1PKKaEe3rdrEM36CXWXNgHWC488phpGXtY2z/k3E5XIzIGoHDW8a+w+0X5elKh6ob+e6L/833/roifkVtWXwX07iMaHPVXLfD3eH3yk/LB2Dc0BCvbymNZlXjbsy0FB0j2joQDZsw1f4qTCiDA7u/hAM3Juwho9EOWnKGJTxkQbYXE/YmDEQDIbuSb1xGtI0xova4U4J+CAUh0tW3Vud6PlqRQJSwh+qYmyIiQkFGgQaiSvURGogq1Qs12uNnhmeOAWB31W5e2fEO6SffwYGa43jKh17GRLvmxi60L5KbYiphRi44X/lPWHWP9Txy8fnVpeBwxGRED1hTXzjdOOwD6xjRE0/QWBfaRZX7yRhzDz/58Co2lG+gcKBVVXbcgDE4XLVsK+vZbFpRZTHe/H/yWeAPzQuNgcUnw5K5za/Ld0D/kdbrUDAaRHYkIxrR39efAb4BONN3cKQ+QEWdFVxGjtWKMTFdc1sHojX+Ggxhcrw5mEAuwYNXEzh8Lr4mu8JqRn7Cww7M8hEMeqnztx4jGgy3LqDUoa65NSXNfys0I3rUIl1zjXGxZrf1f9q+w/Vc8eB75LjzonOLKqV6Nw1EleqFIsWKhqSPQHBxsGEvmyo/RFz1HGk8kuLW9R1hO0B0xP6pTJStyR7a/HzXSuuxthROngtTrrReZxZYjzUHo11zxZEgI+rUqrknAjFW0NIge3F4KvmXCV/n8Use5z9n/icAUwZavR02l+/s0XZV1NtTnjhiMrEHN9or7W6SjVXQVAV59tQlIX80eGyvWFEshzhYMH4BW6s/xJt2GMT6bsXdmIkVaIgZf9k6EK1ssjK2Q7LyOHdcPnVHTiGtaSbSWAXeHGijGu/AbC+BgCd519wWY0QTd821xptagWhMxk4D0aMWmxF94J/bee2zg9z63AY+2VtJVb2JFsdSSvVuGogq1Qs12fOIpru95LgGUxs+QGWwyF6n3Tq7SihRsaLYQPS+ibB4fHM33ZPnQulGKNtuZUQjwSdYYz8zBlrbhgLg8kQzomGdR/SEY8JWIOrwlAMwb8zlTMufFh2LOKbfKACKqvb0aLsO1VnBXNzNka0vW49ZdvfySG+ASIYx5I+OEW2vWFFLV427Cqc4GTTsY8T+vrWZEY1kQyFhIBq5CZft7sfXTj3Jep7mtsaVpuW02YaBWT4am9wJq+ZGA9GYarvWdE6JAlEXiMMKRCPT26QP0EC0EyIZ0SE52ewsq+X6xz/mvZ1WZrspaNr+HVFK9SoaiCrVC0Uyoh6nx8qKekpx+KxgKDKmSR07Y1crihsjGrkAyiyA4adaU7IATP8GzPtfQGDjcjsQHRh/wP4jrMJGh7ZA1pBopjWMjhE90YTD1lhKh8fqYpiXlhe3fnjWcDAODtbv69F2lddbwZwh5uZIZDyo0x7/2WgHoum51mM4GB3X6ZKjK8afn57Pl0Z+iSrX+4jT7pobbisQjRmjmmCMaFWTFaj28/bj/IkDyc/yku1zW2Nbff3abMPALC/hkDdh1dxgoqq50kbXXLBuJAWboM7uOlow2Rpfq45KvX2j4dyxQ/n0Fxfw4o1n8fuvFTJ2YCa1jeH4m3dKqV5LA1GleqFI1tPr8nBy/zE4PIcRp3UHuUkDAFQWcwAAIABJREFU0S4TudiJq5obuQD66lK49IHm5Z5MyB4MI8+Gj5ZYWc3YjChA/1FwYB0c3ADjL4pWzQ23rJqrP8M+LxSyAhunrxQQBqQNiFvvdrrJcOZTFTzQo+063GBnHSUm0Krcaz1GMqGRglzpdptjuuY6HEd/WfH1iV8nRAPO9M8B2g4yIhlRb07CjOhhOyM6IK0/bqeD3145lf+4YJydEW07EC3I9mHCXhpCDa26fEanpXF0oFgRWN1zQ4HmMeIDJ1tBqWlje5VQVaOVnc7xppHhdTF1WD/mFw7lnHH51DaGkhe0Ukr1GhqIKtUL+e2MqM/lprBgXNy6bs2IlqyHT/7Sfcc/zoTti8e4P5SRCyCHE3wx3f08mdbjKV+FBrtgVKRSbkTuqOaL+fGXNmdEwzqP6IkmNuvXz9MvbnqQiHzvMELOUqrqe66rdmScJRgCIft3vdLOyjZWWwFVgkC0otYKDI82IwowNX8q/V0joq/bDDIigWjWIGuOzppS8DePZS2ts7o559mZ2vPGD+SCSQXtZ0SzvZiQNQ9zy+65CYsViQBttNHptsaA1x6CtFzr5lSwERJkW1Xbqhqt36ccX0bc8kmDswmFhaaA3qxTqi/QQFSpXqg5EPUwpUUg6u/OQjdv/Te89ENoOjEuqiJFUxJmRMVhjwmzL1C9diA6aX7ztuMuij9gf2vcH3njIe9kHSN6AguY5mmWCjIGJtxmeNZIHJ4K9lT03Pet2g4yRcJU1PqtzGPdIfBkWd3SAw3NN1PSre7EtfWN7Cyzljmkc5cV/T3NvQfaHP8XmT4maxAE6uF/Z8Jdg+GIlUndX1OKCXvIS8+K36+djOiADA8mnDgQjY59dbQsVtQGl7d5jGhmQfO8wzqFy1GpabIzor70uOWTh2YDQkNA/0Yq1RdoIKpULxQZI+p1uRmZPTLuwigQ6qYiDkE/7HnHCsT2r+2e9zjOhIkEogmKFUUuuCOZrEhGND0Xrvkr/OAj66I0Vq4diE64xNpVEo0R1aq5fdF9K7b9/+y9d5gkV3n9/7lVnXty2LzSarVaZWkVAUkIhMCAsETOyYAFBgz+iWADXwNOGIyNcSCDBbIQQSgBBkmAMiiuwu5qszbMptmdnDpWuL8/blVX9Ux3T89M9+z0UOd59une6uqqOx2q77nnvOfl7q1ekqple6p3V6Kr1FM4tXMtQjN49tiBuo/PxbjhkEwty8HhcRg9pP6/9Ex1mxvzEVGliD6zv6+wmKKXSaadDs0RjzyWrxF1FdHlkB7wxvHoNwE4MnEE22ijNR4pft40imhHMgK2+q5uG9zG1oGthbAm03ZrX6u15obVtXKiD5q61T8AR60NUB3GckrpbksUK6IndzehCY2sGYQVBQiwGBAQ0QABGhCu6pkIRYiFYpzReQZrm09Xj9l1snUeetyzl934OhjcU5/zLCC4XSSKiagzAS1HRAFOfSV0FyvVACzfoEKNLnyvemo5RTQgoosONz12gG/c57VisfDe4+XJ5SWfc94y9Rl6tn93fQfnQ9p0FVHJpiPHYGivesAlotkxX1iRQ0R7+uluVkFG/lCfmaA12lK4X96a6yqik2qvn/kR5FP0pY8hjTaaY2HvMSOjrLIVFNGWWBgcRfS6+6/jLb96C/cdvA/wWXOLUnNFodXMFOhRdb6Uk5rtJgunAkW0WkgpeaL/Iex8Ox2TFNGwrtEci5AzA2tugACLAQERDRCgAWFYXlgRwI2vvJF3nvqXAOTrpYjuuVfZUJeepSx6N72xZGDIYoJLEEv2EXXJqTbJmlsJ4Ri8+uvQplpLuIpocR/RcEBEFyEMy2bToVH6xrMYlo3Em0i/76z3lXzOaV1rgflt4ZKxPBvwtqO9sPNOCCdUCBeo+tDcuLoWxBR5PDY8zukrmhCIWVtz22KeImpXat8STkK83dv2gr9UPU2fvZWB7DFso5WWuK9O1bXzVlBENU3QFCn+/j546EHAswmHJ/URrZyam/faNwXW3Bljy8AWeiZ2kB98MU3+RQUHUV0P2rcECLBIEBDRAAEaEHkn2TEeVkQ0rIeJOzbQujX63nMvrL4Y3vcbuOa/YWgPHH22PudaIPCsub6NU6y5zgQ1UgURnQRPEZ1ERIMa0UUH01Lv8X07+sgYFmgGK2Jn8MhbH2FV86qSz+mOdyNklKPp+bPm5uwJhFSf7bP2fxE23wynXqXssKBIX24Mos3sHXYWxITJyd2JWauhAF0JL/iroiIaa/XIHTjug9PJPfFdJswRTrCySuH0PwcqKqIArZMWkv5w5A9IKUv2RxWVyHYoAplhVcOa7IakY7sOrLlVY/ewcgCYqXU0RaeGX1W0RgcIEKChEBDRAAEaEIbthRW5iDg9/uoSVpQaVG1HTn4JRJKw5Ay13U2HXaRw02xLK6IuEXUmvdFJASlVoFAj6p94B31EFyXcWsN7tveRzVsIYRLXE1OUOD+EEDRpyxk1e+drmBikWGErojdBL3L1RXDJRwrqZ0ERjbZw00ZV83rm0gSabsy6PhRgSdJTOcsqohkndMjfFineDhe9j2P92wD4S3k/bVkfcR907NAtKyuev92nyF687GKOpo6yb3Rf2T6i5WtEI15dbdNStbAUbw+suTPA/rH96CKMNNppjk0loprQivvcBggQoGERENEAARoQbouWRNgLw4mGFCEyywV9zAV77wOkIqLgNbJPL3Ii6iiVlcOKXEW0OFSjGjhtRCcpohGwzaDv4CKClBLDkggB9+7o48qvPADCIDY5zKoEuqOryGtHvVYqdYZFiqU002ZZ3KBv4OirfwIrNngLLW6NaLSZ3nF1rfmTM9u5c9+dbOjeMOvzdiW8GlG7UlhRrBWafIpovB3OeTP744rQrzJMmnfdoQq8n/kR/PKvlJ13xfkVz98R9xTZV5yk0q7/cOQPBXU2pHuESKsYVhSBcaf3qzvO5BJI9Vc8fwAP+0f3k9SWIoRGspQiKgJFNECAxYKAiAYI0GAYmMjx++eUEuGST4CIM1GqSx/RPfepCeCK89T/4w4RXeSKqDWT1NxQbMbH1xyVpWh1353wBnWiiwaWo6xfdfZyLl/fzWvPX0lXs8aqtpZpngmrm09EhEbZOzBc72EipURqaVq1EGsNAyMyzI5ep2eoW5f54L9C7zMQa+HouPqM3jK+ncHsIB/c8MFZn7vFH1ZUTu1yrbmTFdFYC8+sPgddSk7P59Gf/B/4n5fBHR+E9CB0rVOW2Qrwt3w5o/MM1rSs4eEjDxesueHJimjZsKKId40oENFumAiIaLXYO7qP0dE2Xn7GMsL61GmqIFBEAwRYLAiIaIAADYYv/noHllRkM6x5RDTqWHONWteIGhnY+Ws4+UpP/Yu1qrCS9GBtz7XAIAvW3ApE9Lx3qFt/gEqV0LVSNaLOhDmoE100MJz60LNWtHL9n13EP7z6LMJhi0R4+sWLUzvWIoTkqSP1T84dy6UQwqZN6KzLG8joINt7nYTcaDO85UeKBI4dhmQ3/ak841qE68e28/zlz+eCpRfM+tz+9i0Vw4pibYW0XgDCcQA2J5pZa0j+M/4Jtd9ID7z6G3D2m+CK/zft+TuaPHU6nYlyyYpL2Hh0I1krC0yqEaWCNdevcruEuak7sOZWCcM2ODRxiHy2i2svP6nkPhUV6QABAjQUpnoeAgQIsKARj2gg3Cbr3lc4UrDm1piIbvmZUj4v8iV7CqGI1x+NNbdCjejlf62SO6tJzZ0EgVsj6u8j6iwuHHwcTr5ixscMsPBg2DaRrt9wMDsGnAxA3soT1ae35p63/FTYCVsH9gDPr+s4e8fV97lN6Cw1DNCzbD56EFindjjtVXDaqzAPb+L9t/VwcGic/1jZypCd48MbPjyncxcT0XKKqGPN1YunLpZtsWV0DyGuYFvny+A1b1UhQbFWOO/tVZ2/I+kt6r3xG5v461efRdb6EXvGNwEQ9hHRisnAzoIgQvMIc7I7sOZWicPjh7GlhZ3vYl136bp7IUSgiAYIsEgQKKIBAjQYVrXFEVoeKbUiy2isXorokacV6Tzx0uLtiY5Fb811J8TCr4jak6252qxIKHiKqCzqI+pMZG98jdfDMUBDw7Qk0e57+eWxfy5sy1m5qojohmWKBO4b2V+v4RXgEtFOITjZVJ/JHYNTldjB5lO597BOpOs+bm6Jc0VkCRuWzL4+FKogoratalNLpN8+N/IcaTNNPrWa7uYodJ6sSOgM0JbwWXftKMNDq4loEbaNPoI0EzSFvRpwN6xIlqrjdt/TRJfnIEkuUSTazM1oTH+M6BnrAaBJLKc1MbV1C4AQOoEiGiDA4kBARAMEaDDsyTxIpPMhxKQapXBIqQTTKaJZw2I0PQPbp5lTYR9FPUxQq/2LXhGtokZ0DnDbt1iT27e4yKfmfI4Axx9miaChvJUnoleuWwRoiiYRVgsDuSP1GFoRjqVUHWqHEKyT6nPYm+4hbxaPfzitUp1FeJSwlHwleeacz90cnoaI5sYA6RHMJWdCh1KXN/Ur1XJ0ZAVLmmdeqw3Q4SeiCJ49mOWrV3yV01qeT/rge4j4Fg00NBCydJ6YW4vqr2Nt6la3QQuXabF/bD+gaqPLQZVKBIpogACLAQERDRCgwdCT3lRye8yx5k4XVvTW7z7Kuf/wm+pPaGaL655cxDsWPRF1J5p63YioE1ZUpIhGSt8P0LAwbOm7b2DYBpa0qlJEAQQRLFn/muGBlOq52SUknVqUuN4EkWPsHZgo2m/EWcgSepoTTUm4BkndYT3MN1/6TZACmxLHc/uBxhxF9EMPw0efAhQRbYu2k8+2K0V0FmhPet+1zmSEzYdGuHTFC3nbms9jZ1cX3AvgU0RLHcj9zrrkE5Q1F4I60Sqwb3Qfwk6yrmtp2X1U+5ZAEQ0QYDEgIKIBAjQYOiInlNwedeqmrHJBH6hUzKcPqAmdZVf5Q27mSifCJtohPaDY2v9dB3/fUd3xGgjuaykqhRXNAe5RS9aIgmrjEqDh4VdED48fJu/0ia2eiOoVv9e1wkDGUUSxEeE4JzavRYse85JzHYw4img8mqMNrWbBWpetvAxht5RWRLOj6raE5XZz/2bWtZwJCJbMlogmwqQPvIfM4TdzxWlLSOUtdveN4751/sUozSGidiVrrl8RTTrpuUFy7rTYN7ofM9vFiZ2JsvsIoZVPLQ4QIEBDISCiAQI0GIQsXTfjtm/xW3OzhsWbv/0Id289yv9tPsIPH+0pPDaYqrJeycyVbn2w4jyYOKbCjDZeD/MwUZ5vuFOdellzdc1t31LGmhu0cFkUyJred3L3yG5ylvruRavoIwqKiJZNkq0hRhyy12mbEE5wRtcp6JE+9pVRRFd1QgsaOMS6FhBolYnopBrRkewI+8f2066fAsCazpn38wXoSEawUqdijp3HS05TxPGZAyPYbnK27+su0BCiHBF1vr/+XqdNgSJaLfaO7sfOd3FSV/n3UaXmBkQ0QIDFgCA1N0CABkO5CWlYd1Nzvcd7BtM8tm+Ix/Z5FlotdhAtMkDf2GXV1VOZ2dKK6AXvgU0/hV9/wtsm5dRa0gZGoX1LpdTcOcCtEbVLhRVBoIguEuRMj6j9ZMdPCgp79YqoNj9ENDeKlBqttgHhOKe0r0OE0hwY6QNOLew37BDRlDlOK3qNF0wEstTfmnGtucWK6OaBzWrsw8tpjYc5Y8X0vVlLoSUWRhNgS9iwuo22RJinD4yw4QRFfP3WXPd6YJdylbiLC0k/EV2mbsePzmpsfyyYyE8wkhvEzl/EiRUWFNTrH1hzAwRYDAgU0QABGgwu0bzlT28t2q479YZuj1GAo2PjxFb9L3riOd7/ijSfeMMgyZO+TnzlT+kfn4kiWmLCrOnw2m8VT0IXmYJXsObWSxF1jiFL9RGFRfd6/rEia6jvZEJv5vGjj3Pd/dcB0BqpLtlVQy9dN1ljTBgpsGOE7CyEE5zcpsKAesb3Fe03kskTCWmM58do1SNw5BkY3FOTMQg07FJqVxlr7qb+TehCZ/v+Vi45ubOIMM4EmiYKybkdyQgbVrfxzMGRgurpt+a61wOzVG1sQRH1WXPDMTXugIhWhJuYa+e7WFPBmhsQ0QABFg8CRTRAgAaDq4ysbllVtF0IAVIrmhztGtpPuHkb4eZt/LinaHeOjI4BS5gWVg5CZeo/O0+Gl39B1YgW9l08ATvuVEerExEVhdRc38Tb1xu2VrV3AY4vso4V909WvZ2rT72oEFR0bve5VT1/vhTRnJlHyBDCzECis0BEj2X3F+03kjJobt9B1srSuu618PD/wveuhDf/ENZcNsdRlLPmTgorcrCpfxMnNp/MphHJh17cNacztyfCZPIWsbDOhtVtPLBrN2MZtYjgX4zSKOFkcFGoEZ10bW1aBhMBES0HKSU/2/UzAJLa8uJ2OpMgCqnFsniRMECABYKHDj1Ez1gP7zjjHcd7KAsegSIaIECDwXQmP259YRGkVqSIHhn3apL+5YX/wj1vvIfPXPxZAHpGq5wUmbnK6a0Xvhde9Dfq/iJT8GynZ6hGfay5ulbiGIEiuuiQNdT7mNDjXLz8Yl6w4gWcv/T80t/hEhBifmpETdtAEFJ2/HCM7ng3GmHGzOLaxoH0MPmu6wFoWXIWXHuv6pv503dQuqdJ9RBoyFKKaM4JTIp4PXst22JL/xZaNVUfetm6uRHRjmSEDic997wT2pESnuxRZQ3Fqbmac/5SNaJuau4kItq8DMaPzWl8ixlbBrZw627l8jmxpXQgn4uCNbrUQkCAAAsAtz93O9/d8t3jPYyGQEBEAwRoMLgTUteKW4zidM1jTt+6n7zqp1y19iqWJJawqnk5AD94dDO7j42XOMYklKsR9aPZqYFaZA3bvT6ivo3uRLsmqblBjegfA3LO9yKslw4amw4aOnIerLmmdIiokYZwAiEELaFuDDHERM5n+feF7rREW6BjLVx8LWSGZ98rU0q4+V3EZa40wTAyEIoXpQbtGd1D2kwzMbqClW3xinbOarBuSTPrliiiu2GVUl5/t72PVe1xWmKeU8ElQmapcS49E7pPg7ZJZKo5UEQrYTSnrNexkXewtrOyZb1ARIPAogALFEfGhxjODk/b1z1AFURUCHG9EKJPCPFshX1eLIR4RgixVQjxQG2HGCBAAD8suxIR1bB8F77BzCAAK5tWFLZ1J1SCo62Pc9V/PcTTB4Yrn7Bcjagfrh3NWmxEVN2KkmFFc7eEhbQSNaJ+a26giC4KZJ33MTpbIir0eZl0FxRRIwPhOABdsWVo4WGOjmbImzafvm0LO/qPFJ4T1ZzvfutqdTtyYHYnz47Atp+z3DpWWhH1jcnFpn7VU3n3gU4uXdc5Z5vmP776TL77rgsBaE2Eee+lJ/GyM5byg/dcTEj3rgGFkLFSNaInvRA+/BhEJoXtNC1VNaJzVIwXK9wk6aHhjopBReBYcwkU0QALFz1DA0gkw9lp5lcBqlJEfwC8otyDQog24BvANVLKM4E31mZoAQIEKAVLWiBFyUmXkJ4i+uzhUZ4+cgikplQLB11xZV/761ctp7spyidv2UzWqKC2lOsj6odLVM3atXFYCHADYua1RtR/P6gRXRTIO0Q0UsniXgFKEa3/yrolTbQCEVXqYnd8GSI8wj3b+3jjtx7mx48f4E/O9pTHE1wbpasAjs6SiDo9NjXKEIxSRLRvE83hVsYnWrl0jrZcgJCuEQl53+vPXX0G333XhQWV1IUoKKIzIJXNy1Sbm0wwMS2FiXwGANsOs6arsrLtljQERDTAQkVOqpZX/elZOkT+iDDtTEpK+SAwVGGXtwG3SSkPOPsHjbICBKgjlDW33FdXw5IWo2mD9/zgCbTQOFhNRe1H2qPtaEIjJ0f54uvP4bm+Cf7znt3lT1iVIupMsBerIkq9+og6iqg/AdLIePcDRXRRIOss0MRmGeSlCR05D5NuW+aIIh1rriJ9nbFlaKEJvnjXFjYdGuVrbzuP569Xf8d9b7qvEGhEm6uIHpzdySdU/aSGKK2ImqUV0Y7QekBwyclzJ6LVohBWZM/gPXHLFyaCOtFSePaIcu9gh6ftBasFimiABQ6TFAA9o8H3fTrUokZ0PdAuhLhfCPGkEOJd5XYUQrxfCLFRCLGxv7+/BqcOEOCPD5a0QZa2oKnG9yb/+KttjIqNhNuepCncXrSPrunE9Bjf2fwddmZv500XruLbD+xh25Gx0ic0s9MT0UWqiLqW2eI+oo56XJMaUdea65tQLTndu28Z0LsJrKDOpJHh9hGNhmZvzZ2PGtF28zCnGc+p2uSQIn3dcUWgRHiEq85exp+es4KBzABRPUpnrNN7cqwVoq2zt+Y6BE2XlO4jOkkRPTR+iP1j+xkaXMlpy5rpbq6uJ2stUAgrmokiGvQSrQhLOr8dMjQ9ES28/vX/TgQIMFNYtoUUWQB6RoLv+3SoBRENARcArwJeDnxWCLG+1I5Syu9IKS+UUl7Y3d1dg1MHCPDHB6WIlk7bFOj0jqa5dfMmEitVFH5KTp0YfvT8j3Jiy4n899P/zYvPHcWWsLGnhPHBMhXxms6a6yqi37sS9t4/g79mYcMNhqqXNdftTVikiCa74Lpt6n7vJvj25fDAl+Z8rgDHD3lbTbIjs6wR1YVeWiWsMaQ0iLqf74iyR7ZEmgEQWo6wUyc5kBmgK941tTyg/QQ4VjZOojImlJlKQPka0ZBHRG/Z8UsAeg+fyvPXdk7dv46oWCNaDs0BEa2EjKkm7i86ZTntycrOAc1Jm5ZBvW2ABYjxvBcCeWQ8EN2mQy2I6CHgLillSko5ADwIVNccLUCAADOGIkflFFHVvqX9hDuIhSMsSSzhL879iyn7vf30t3PrNbeyNLGU/93xLUCWbkXgTA6qVkSRcNv7q/5bFjoKAbmliGiVrTcqQXNrnSZb/FzCMrRX3R55es7nCnD8kDOVxTo2pxrR+qs/Nha2iMIrvwxnvhaAqDtmYRUR0c54CfJ39pvgwCNw8ImZn9xVRJGlg5kmKaL37P8DVmYl0mznJadV0Q+5hvAUuRksDjQtVbdBcm5JZJ1k6b+9avrpo2uNDhTRAAsRw9nRwv1jqYCITodaENGfAy8UQoSEEAngecD2Ghw3QIAAJWBLu2DpnAyBTrh1M0ZkN5+48OP87g2/40MbPlRy36ge5QPnfoCtQ1vQm3aWJqKWY5eaVhH1EdWZqAQLHO5Es259RAuK6CS4ybnuD9osCUyAhQHDsVbHwnOoEZ0HImoJW6XmPu8D0KKStl07sXCI6IGxAzzT9wxrW9dOPcCF71G3s3FFOBO2iLQRsoQV3Ve3CtCfHiWqtfDQX1/B5evn12HlKqLmTGpEo02qB2rQS7QkslYWKTUSkem/I5qTGB/UiAZYiDgyPli4P5AZrLBnAFC22ooQQvwYeDHQJYQ4BHweCANIKb8lpdwuhLgL2AzYwPeklLP05gQIEGA6qB/f8tZcgCWRU3n9Ka+ftp3Ba9a9hv/Z/D3CS37AiqOtwKTJpauITkeE/CEsi2iV2vYkUW9jDfuIllVWXEV0zGmToU17qQ6wgJF30o+jswwr0rXQvFhzLWw0iu3DhYAlYRHWJJ/9w2cJ62E+ct5Hph4g2qzss7nRqY9Nh0JYkUSjREiXmS0ionk7Q1O4i9Udc+sdOhsU+ljOlAgFvUTLImvmwQ4RDU1/XS1cNxfRomeAxYOdg8rJJKXOaD4gotNh2tmNlPKtVezzr8C/1mREAQIEqAhLWogyYUW2s31VYn1VPfXCWpgPdFzI51K/oGnv/4M7nlLWuj/9Kqx9sc+aOxNFdPGsUnthRXVOzZ1c66S5RPSQe9I5nyvA8YPbviU2hxpRxDwQUSHRRPG0oKCIahm2525mx+hTfOGyL7AkUcYOG22G3HjpxyphrBcATYImSxBRX0sZAIssES0+db95gJuiXdJFUglNy4Ia0TLIW1mkDBMLT1/yUFgIWES/NQEWBwYyA3x1098DYOc7mdCCdk3ToRbW3AABAswjVP1U6R9r21YTpFZf39Dp8MJjewDYkVwFu+5SdYm7fqMedOp2pq8RXVyKaNpI87H7P8ZTA78HJqfmukR0eqI/HdwJrZxMNCcTlszInM8V4PjBcCzuc7HmMg/WXFNI9DKKaHzVj9iR/TkvWvUirl57dfmDxFogWyaB24/hHthyi/f/sUOw9go0oEWWUFSNTNGCmE2WmF45XbVemL0iujQgomWQs/Igq1NEdef1zweKaIAFhlFffaidXUXWnoU75I8MARENEKDBYEurbI2ohSKOnfHW6g6WTxHe+wAAj696O/z1XlhxHvRtVY8XiOgfV43ovz/57/y257c80qcIuebnnNKuiRoKECooopMmtJpefI50pVbOARY6DFvVPManW9Apg9A8peaagCYmE9Hi/3/hsi9UdltEWyBXBRH99Sfg1vfBsW2Qm1D10CddzkhoGU1ybCqZ9YUV2dIGLUc8NP+2XPAcEtZMFbmmZcqCHKS9TkHezoEME9JnYM0NakQDLDAcGlFukMyhd9CiL8MSKfLW4mprV2sERDRAgAaDlHahj92Ux4Qijl2J9pKPT8Hu3xIyM4Cv3mbJmXBsMhGdRsnx15Dajd/zcv/ofgCSIUXop4QV1YiIuhN6u5T1VvMRgExg76kFtg9uZ1P/pnk/r2vNjYdna80NgZgPRRT0SUTUT57XxV9Ia3SaRa5qrbmua2Pj/3i10K2rmAh1YAng6GZvXymLwooyzjUrET6+iuiMU1ubl6m/YzbWZSBnWrzvB0+wvbcKot9gMKwcQlb3/QhqRAMsVEzk1ZxJyBAntqmk7KFssJBcCQERDRCgwWBLCyHLpOYKtfK2evCZ6g627efoThuGwqRq6RkqwXKiv/oa0UVmzU0ZKQBMp//jlBrRmiuiJYio356bCX7IqsG+wVHW/+sneXjv4ZKPf+7Bf+WT935+nkegj4FsAAAgAElEQVQFhlPzGJll+rGu6VBvRVRKDAGaVqzaRn3kOVRNjWusRS1kbftF5f3ca8qxrV4tdMtKslorNkL10HVh5QFZIKIjGUXkksdNEXWJ6AyVzTn2Eu0dyfBQ/838ft++WT1/IcOQ+SlBWeXg1tabVqCIBlhYyDiL9x99yWksS6o07/70wPEc0oJHQEQDBGgw2JRXRNHURXD5M9/36jzLwcjC7t+gn/pKwK+InqFu+7bOzprr2qUOPgE3v9trQdJASJtpAEy3jUSdiKhbI1qy1syflGtmIZ+uyTkXM3669S6iS+7ib+79UsnHD46McizdN8+jAtNRREOzTD8OaSEQNvZMw3FmACs3gSUE+iQimvAtMoW1Koh0tAXyE3DzO4v7iWZG4O7/B3m1yIOz2EN+AkadhYOWFdhalLzQi3vnGs5n3wkrGswoRbA50lT9H1hDzDQs57N338ptW56ecy/R/aOHiS65iwMDd87q+QsZhp1HVEtEnfYtZqk2PwECHEfkTDcPIMryJhXodmAkqAuvhICIBgjQYKhUIyo0RSZbLUvVXw3sLn2QfAr+bT3kJwid8WoALPdHfelZ6vbYNnAscNO2b5mslBzbBv/zUth2B/TvnPZvWmjwFFFFIKaEFdWIiCqlqwxc0uJOXgNVdFpoTojXoL2VrDFVmbcxscXEvFv6DOdzFNZmn5orhMSo47izWRWINVkR9Qcshash0v6gtLs/A498A/7tVHjgy/DI12DTj9VjLiHNpzxrbssKNKGTIQJ77gWHwGMUOzMG00oRbY4e57CiKlXqO47+HZ9/6l0+RXR2vURHs+rvPnv3f0Pf4mrXbsk8OtU5BtyF2EARDbDQkDWdhPRQhJWtioj2jM3/4mcjISCiAQI0GCR2WSLqouWC9ypyeMcHS+8wsEv1+lv3UsTJLwGpedbcpm5IdivL3KhnmauIyeElN7/Lu+/aexsIniLqEFEm9RGtERF1Lb8lFVG31rZ1tTOogIhOh9HcBAB6tJ+/uuWeKY/b0gQh6U/Pb283d5EnPNv2LQ4BzJv1U4CyaUVEdb24JUpspopozCGi4QQcehzu/rRSAJ/4ntruJkC7Cn8+ray5ySUQiqIJjZSIQnoQnnPew0mK6JBjzW2NHidF1LmdcViRS0RnqYiOZBV5l6DSzRcRTJlHF9UR0VChRjQgogEWFgqKqB7hJKdG9EhARCsiIKIBAjQY7GqI6KqL4ew3llcjh5wao5f+vUpoRSsO3lhyhrLmDuyGeDskO2c2yMHdcNnH1H2jsYiolJKM4QY4lVBEbauGiqhTI1oqrMhN2mtziGigiE6LUV8IzJOp70153EYRuX3D82uVclNzQ2J21tywo5xnzfqlL06kVSCWrhfb8P124qqIdLRZ3Z5+tQo+c2E5Nn/XpZGfcG5Typrbqha7BBo5whDvgM0/Ufs430fCamwjjjLYGmuu5k+rOTTn/ZhxH9FoC4TiHDywj3Wf+TVj2RL9UitgNKeIqA3e9WGRwJLGlKCsctDcGtFGsOb+8A3wi48uqv7aAcoj67bqCoVZ0dqMtGIcS/Uf51EtbARENECABoNKza3c9DveslpN5HJjnr3Nj2GHiLavcQ6qYfuJ6NKzoG+HIrKdp8x8kOe/G856vbrv2nsbBHk7X5jguJZKXZtcIzr3HqLgKa0lFVG3PjdQRKvGuENuurQNGEx9vWynF+e+4d55HZdpGyD1ym1PKsAlsHmrfhPvXEbVcocmBQD57cSRahRR97Oc6IRXfFGRrxd9ynu8f4e6dVXO/ASMHS64LjShqVY1Z70edt6pasxdV4WjiI5k1fvcfryIqNu+ZabtQ4SA5qXs2/ccpi3ZfWxm6bnjjuJvCxqy9r4SLPKEqlRECzWijUDuDm+Ep26Auz4VtO35I0DeZ83taopim80MZufXgdNoCIhogAANBolV3E6kBETzUqVkgmeFc2EZqr4o2Q0Fa5tWXDe39AxFIA88DF3rZzbAKz+nJqBOwmWjKaJpwwsFcomLmBJWVHkhoFoUFNFS8xN3YaDtBHUbKKJTMJ41ilSllJECqZMMtWGLqQsgErXvoXm0SmUNi56hMZCz/8yECopoHa25DhHVw8VEVPd91qPVKKLu9SbWBmtfBJ86AFd8Gt54gyKXA7uUOlQI35LKoVEgojoICee+RRHQbb+Aw0+qXVtWADDmELKO+PEiotWHFU3Zp2kZeTFAdNltmDNsdTXhvGY2AlKLK4lTYhDWquuzqzWSNTefVosyj38bHvrK8R5NgDoj5yz8x8JRWuNhhNXMSD747a6EgIgGCNBgkJRXRL+17GV8fHBY1VsViOikHpS//Txs+Rn46h4FeoF0AV5yLkDXupkN8IUfh0gS3P6DDaaIukFFfgjqk5rrTqhkJWWldZW6bcBeogeH0vSO1u/9P/vvfsM5f+elQ6eMCYQdIxlqQmrZKW1xpPMZ703NDxE1LZu/+OGTZE0DbZa2XPDssfVURM2h5wDQI8Xkzr8IU1X7mXUvVbfrX+4eQN2e+Ro46XKlhI4eVEqo+z2ycgVrbkERXXkBdJwMm38Kj30LVl0MS5XVd8yxYHcmfMFI8wivfcv0RCg3+T1rXsq3O8aItD/O3rEd1Z3QyMDOu5hwFH8bVA3tIoKNQagaxR3QZ9vHdb5hW+qzfdG16nvx+HeP94gC1BmG7VlzhRBERCsps/F+u+cTARENEKDBIKVdVhG91I7wZ1kgkihPRJ/8gbo963W+g06qEe0+zbu//hWzG2ioQRVRc2qblHql5rqT/JI1oi7iHRBOQrrxfsw+8bNNfO7nW+ftfFkrhUacZKQJoeUZz+WKHpdOjejAPPR1k1Ly97/cxv07+znvhGba4vHpn1QGLhHN1atGND1E9Nn/BUAmV5fdLVKNIrrmUvj8CKzYMPUx97rSv1MR0uQS7zGfNRcc+/s5b4b9D6lgngveDcBwOsfdPb/GynXTkTheqbmOpb6K1NyMUfwZpHk5oZnWNm77Bfz4zYQm1GKBLVhUiqiU0lFEqyOibo2uYU1PRHcN7+LLT3y5dPlDveEmQ0eSsOJ8SPXBDBeTthwaxQjSgRsGOceaG3cW4uNaG1l7cdnoa42AiAYI0GCQWOX7iGaGPQJaioiO9ar+fVd+Hl7h9VoU6MU1ohHHnqdHYcnp1Q0sFCsOJ3GCRRotNddvzXVRNyJKFRPaSBISHQ1pzR3NGPSP56bfcZYQ+jhC9+rsclaGkIjT4qh6fROTJgBCfcaHcvVXk376xEFufLSH91++llOWxasjcWXgWnPnlJq76afw878s/dh9X8BynADRUHl7ZEyvzjpZtobatfkf26LCdpq6vcccIqqswM7CzDlvdA9YWBC76ZkH0GPHyA9cQVN09q/pXFCw5lZR85fOT6rRb1qKXmXblwIcBb95fJs6L8A8LKbMF/J2HoRNVKtusUYvvP7Tv44PHnqQG7fdSN9x6B9cqIOOJKBlufrtmIEbY3Aix6u//ntuf/pwnQYYoNbIO2FFyYi6VraE27FFhmyDzYPmEwERDRCgwSCxC/0Sp8DMegQwUYKIHnxU3a590aTJ4qSwIoDrtsHHq7SOAXymF/7i997/XUW0wS7ALhGVlpceWvRS1cWaW2GnSFItKjRgWFHOTjGamajb8ZvWf4Gm9V8o/D8v00REghYnufXYJCLqKqLjRv1fy/t29nFCR4KPvWwtm/s3zzoxF3yK6Fysube/H56+cer23s2w8Xr61iii5+8bOhmR0ByJX6JD9cU9/JT6v18R9VlzEQ7B6FgLa16oLL3JLgC2DewC4IKlF5KI1KZWe6bwakSnV+Qyk1Vst4UL1RFZdRB1DU/kVMicRKhezTe9Sb1/DQ7XchzTq1O4vbCi6V9/w6nZO5qa36RswFNEw0loXq7uj1cflDaWNbEl7O2fWi4SYGHCDTiMhxURbYupedhwtvEcTfOFgIgGCNBgkNjFCp0fVt6rzSyliParSRzdxSqnKEVEW1eqiWO10DT1z/9/PeK1XmgQuNZcaXmhLcWKaO36iBasuZVW9iNNDauIjjR9n6HEj+btfKbMENUThTTVgfRY4TEpZUERTVsjJZ9fS2QMm1hzD2/8vzewd3QvZ3WdNbMDDPcUgn9cNdWYYbhNVXjyBxBOcOSk1wCVVc9YBbW0anSfCkeeVvebXCIqChN1RTJ834e3/gTe4n2G9o/tBTvCT977ilmnEM8VXo3i9ERyijW3aWmh4rzqsB3nGm44YVuWQPUi3X03PP6d6o6xgOHW5cf1xDR7Krghb9UQ0bxTs3c0fRyIqF8RdRcgxqsfR85Uf9/B4akunQALE/kCEVXX7PaYWlzJNNiC/HwiIKIBAjQYJDaikiIacpS8aCsgignM0F5lgYsU/+CrsKI61KGE4g2niI46iZzS8mxi+pTU3NpdOqUU01tz4x0NqYja2iimNjAlNKhesMgQ0xN0xFsBGEx7hNO0TYRQ48hT/5qdXuteehNfwbANvnHlN/jy5V+u/slmHr53JfzozWDbBWtubPvNpdsxucinp28RMVlVHemBznWkHNW1kiIarSasaDp0n6batYBHRJuWgkO2daGDsDHdurhoky/dGwZyh4iz/LiRUPAWkKohkqUUUeFYj41qiWh6CNrXMOqkyh5LrId33gFnvg52/lqF4mRG4NFvVv58LFBMGOqamwjPTBGtZiHAtUoeSx2b5ejmADcZOpyEZpX4zNiRqp+eNWyEngqIaAPBsPJIqRENqetpW1zNtYZSwXtYDrP3CgUIEOC4QGIXVuSnwMx5RFTTIN5WrIgO7VF2t0koqYjWAqFowymiIxmXiPrJen36iFaFcLxhFVGJhdQMcqZNLFxfG6WUEimyJEJJOuMqTXU44ymiaUNNSKUVBz1D2kiTCFenwMwGo2ILUdnNbdfcNvPz7P4NpPrVv2d+SFhTE/SOzd+AsV3QfqL6HF72MVV7BnD0WfjeS9V37pw3w1VliK+ZAd2XjDt6CDrXkXX61sZD5clmJZJaNbpP9e671lzHlgsQCaka0bRh0aIXX+eklKQ5wgnRs+c+jjlAqyZkzEHW8IiolBIR8chW1TW/GZWEfsROA2Okwm1w8hWql+jW2+DAI3BoI/zu87DjV3DNf0PHSTP6m44n3P6oiVB13xNNcxcCqlBEHSJ6XKy5bgJ7JKGs5UKfkSI6lB4hue6LHBx6O3BZfcYYoKYwbBOkTti5drXE1IL2cCYgouUQKKIBAjQcyrdvUYqozz4XayvuIzq4BzpPnvK0Ke1baoVwrOEU0ZGsQ0RtnyKq1SesSEFUDt0QQimimRHVf7GBIDEReobRTO1VGtv2SICUkpxpg5YlGW6iO6kU0eGcF2SUcYmooSzrA5n6hr1YZImK9tmR3a23qz6/J1wCv/0cMTvjHFPArjvh6ZvgyRvg30+D618JR56B2/8Cos1qoemZm8of278wJKUioq2r2TG8GWnrrG4pn5obr4k115fI7SqiTn9QUI3ghZCMZaZeN/YPDSFCo5zYsmbu45gD9Bn0scya3mffsIyiHsQuSfJjS/8W7tx3Z/HGzDAkOujV2tTz3H6b616qAuW2/9Jr57L/Ifj+Kysrb3d9Gh5bOJZe10LfFq+uHU+ooIhWUSNqH88aUVcRTYCmq8/58L6qnz6YHUZoJikOkskv8FY1AQAwbQNkCN1ZLHFrRdMN1j1gPhEQ0QABGgxVK6KgbJ3uxDMzrFS1jlJEVEPWRRFtRGvuOFIKpOVNurU6WnNBTG9dTXQAErL1r22sJSQmQsswmq5925Gc6ZEA05YMpFIIzaI50sSSpJqwj/mIqDsRiEhV93xwtL5WPVNmCWux6XecDCmh52EV0POnX4XcOKv23g7AeNs6+PRh+MwhuPZeiLXCgYfhhmtUEu01/wWnvUr16PRPfPyfLyPN5/7wOc6+4WylqOUnkC0reXrwIcis5+zlS8sOLTbXsCIoJqIrL1C3LasKm5ocxXAwPTXk6pEDKjztzO5T5j6OOUBziFA1qa2u0gwwlkuDphf8FdkSNtrvbP4On3/488XHzoxAvJ0x57x98RPV9mgTrLsStv+fKruItsLL/xmyY8rWnSsTFPboN+DOT07/h84TBtLKKt8Ra55mTwVtBgsB1SiidSN57m+vq4Kvfh7s/8P09nkHqbx6vhYe5vBIoKjVFbat2ko9fRNs+7myu88Chm2A9BabEs58LJWvX3p8oyMgonXEE/uH+PRtW/jgD5/k4zdvKhSeBwgwN9iFidAUmFkVEOQinPDsQYN71W0pRVTUURFtsJXA8VwK7Ai6L+VU1JGICilKW/xe9DeKjED5nrALHcJEaBYDJUjFXJE1rKL7xyYUSW+JNrGkSSmi43kfEXUmAsmQahmyf6S+CoktclW3oyjC6EEYPwInvACWnAaXfJSu3ocASCVXevWSy86CjzwF57wFcqOw4R1w6isL6bJF7T38LYmMLLc/p4itHDkIwLawRkYOsL7pkoKlrBQSoVkQ68lIdsFrvwMffESpt2e8Bta/vPCw23pn0GerdrG5T4WtXbSyypZSdYKrdlhVEVFvEWY8lwXNu64YJYjo1oEdZMwMPWM93sbMEMTbsVCfYdOfwHz61TB2CHb8H5z4AnjBh+FNN8CxZ5Uy+ouPwO+/6k2sZznBrieGnPe6y3EyTAe3ZroaIlpQRMuEFW3q7eGiGy/l9q2PV3XuGcH97XVdESddrkKmnOTn6eAunonwMAeHG6vEpaHw+HfhX9bA1y+Gn38Ibn4XPPK1WR3KtI2iDI9kRF0z0w1WojSfCIhoHfHtB/Zyy5MH2Xl0nFufOsTNTxw83kMKsAggRYXU3MmKaDju2YOG9qjbEoqohl6fht+huKpJayCM51NIO1oIGwDQ/ZdKadVYEaW0InrFZ+Ddv1T34056cQMFFlm2l1J7bKL2BDoziYgOpBx7X7SZZCSOlHqhLQRA2iEEHVFlBz04Vl9FVIosUX0WRHSnY8s84fnq9vJPIqNqISIdn6RWJrvgxX8D570TXvHPalvCIaIpHxH1L2D4SOl7H/lbtkQi3DK4Fyk1rln/0opDq0mNKMC5b4alZyjb+ZtuUPWODlodVWwoPZWIPjeixnnesqnXsPmENoM+ln5r7nguXdGaO54fpz+rCNOz/apnKGZeKdzxdiwUMSlK2V7/Cu961O7UhZ7yMnj115XytuNX8Lu/UzWkUPy5WCAYzqgFo+5EdUTULZWoxprrvsaDmcGSxP/xQzsQoRTP9u2udrjVI+9LzQU48VJ1e+iJqp4+4XxXtfAwhwIiWj/suVeVNL366/Chx1RSfZWLBZNhShOkN3coWHPNQBEth4CI1hEZw+ScVW3c8/EXce6qVn66MSCiAWqBaRRRfx2X35o7uAcQ0L5mytOE0JD1UERD0WJF9PBTqv/dPEFKyYOHHpwRyU4ZaaQdJeYLbam7NXe6xGK3jU4DBRYZlg1ChbH0pWpvKc7kvaCXtGEU7H3tTmKusOOkTY+IuqExSxNLkFLj6ER/zcfkQrWKyRGbKRHNjcN9/wwnXgZLnXYvkQS9l6heqf3dFwHQO5rhs3c8y5GRjFIVX/01ZdOF0oqov07ctzK/cXwv71u+hHsHN2GlT+KqM9dVHF68VkS0AtpiSvF1a7X9OJruIWJ3E6kQqDQfcK8H1aW2+ohoPqOsudJ9rDis6LmR5wr3f39wk7rjJgzH25Ei55zXd71IdMD571b3l/laBG14G3zw9/D++9X/jz2rbieOQ63kNFDlEBqdySrbtxRqRIuvm4fGD3H77tu5aftN3L3/bsBr3yKRHEtPXXw6MqG21UWxmqyItjn111X2Es24imhojJ6hqQszAWoEK6/em/PeoVwozcu9RYSZHso2EL4c2KTT131KG6cABQREtI7I5C1iYQ0hBKvaE0GxeYAawS78EE/BFEXUZ80d2gOtq5VddhI09PrUiIYnKaK3vR/u/nTtz1MGd/fczYfv+TA/3vHjqp+TNtNgR4om3ULzE1GpgidqBm369E3XmttAimjesguK6GCm9kR0Iu+3PKYZclSVzoRS1HTiZCyvEXzamQh0JZuQZpL+OoYVZQ0LtDyxKlNACzj0hKoDfuHHipKZNafH5nhULUjc9tRhbny0hz/7fgk7YVJZj8srosUT7oymMWQdY4l2IUuaK1tvaxJWNA3cHrAj2akT73HrCG3hlVO2zzdcRVRWYQ3N+VTPlENEXbgkycWuIUVEbbOZzX1b1cbf/C2E4si1LwbhkKrJC2tX/4dScs5969QBtK6GaAscc443g9TW+cJ4fgKsGK3x6hYYXGvu5D6iX3jsC3zu4c/xpce/xCce+AQDmYEiAlCqTvSY8z2pCxHNOwq4Wy4TiqpreZXvQcGaKyR7hw/XfnwBFCwDNF/9eyRRXM4wA5iymIg2R9ViZCZQRMsiIKJ1RNawiTstC0K6wLTnp5degMWOStbcyYpowlvZG9wDnVNbt4Bjza1LH1FfjWh2FAZ3w8iB2p+nDEazSiXbM7Kn6udkTKWI+omoxuTU3Nq2b6kurIiGUkSzhlHo2zmUqX3fzvFctuj+sPNedzr2Pp04OdubTLi1el3JJNJqZjg7WPMxuRjLZRDCrrodRQFHnlG3K88v2hxxemyajoK2rVeRtKFUiTTiRKe6LUdEy1jlX7rmymmHlwjXn4i6rXfGcqmi7aOZDFaon5XJNXUfw3TQZ2nNncirGlH36jHZKrpjYB/S1jEnTqU3u0ddFw5thLNeT6rpRISm9i+5cLXktNILZELAkjPg8Ebo3wVD1ae2zhcmnHKIlnh1YVh6mfYtvRO9XLbyMv7ziv8EYNfQLnrHJrAN9ZkqVSc66CxIZWodqiclTPQpV5L/96J5uUdEh3vgwX8tm4aetbwxHRoPiGjdYBmFPsaAWsDPp8rvX+lQ0kTz14g618xsg4U2zicCIlpHZA2LqENEdU1gWgERDVA99vZP8Ne3bFIWRwfK8ldGEbVtZTGZoohm1I/i0J6S9aGgworqYs0Nx5VKC9DrWs2OVJ0aOFe4rTPSZvWrmzkrg5DRooTQeoYVKWvuNK9HtFWds4HCitI+xXI0V3tb2UQ+U3R/1LFyLkmqSWdEJMjb3mTCJaLJaATdbmHMqB+pd9XZZDg5zZ6T0PuMss67CriDiK5W2A1n4r31sCLdZqkJbKxVre77rbmDnuUTI4OU3uf50rRFru/lXH3m9AFA0XmwxHYmlSI6ni+25j528DmEsFlfog/yfKPQx7Iqa65PETWyRTWihl1szd0z3IM02ukInYxFSpGP/ATEWhnKeK/HjHs+r7xAXX+/fhHc9TdqW43r3OeClDmBtKM0R6trbe8GydmTXv++TB+rmlZxwVKVxrxzeCd5K49tqIW8UoroaF5dB2pORLfdAc/8ECZf+5qXKWtubhx+9Ca495+Kv58++MlLf6Y6O2+AWcAuQURnqYha0kTzhYk1RR1rbqCIlsXCuRItQmQNq6CIhjWt9KQhQIAyuHdHHzdvPFQUUmDZkrI1opZzofMroq41Nz2kFMkSibmgFL9p6xRng1DMU2COPK1uzazX867OiIeULSY9gx+VnJ0hJGKEfemWul9pOB5EVNMUOZmn160WSPsscXUhojnve5HKZxnLu0RUtW6JaklM6e3jEtGYHiGmtZGx60fqRxzS0BSZgSI6fgz2PQQrzpvykKuIGrbJeNZg/6D6PJdc3BRCqaJ+RfTYVo8AGemiMI0P9oZZzqs4Z+X0QTERvf5EtDuh3r9xo5iIPtmrWrecv/y0Kc+Zb8wkrMhfI5rOZyqm5h6aOIRtdHLV+gsBuGfPk0qZiTYxXEREZ7iQ99LPw3vuVGnFXevVNmkvmATdtDmBTrxA8KeDG1bkt+ZmzSzj+XGWJJbQGm1lWXIZO4d3YkkDaSWIaU0lieiEqa4DfvWxJjjoBBKtvLB4e/NytRh72wegX32my13X/a1/UlZ/UN5VL1j54m4DfifZTA8lTbQS1tycWfsWZosFARGtI7KmTSysXmJdFw6JWDgYSefJmVZRY/gACwcDE+rCNezrwWhJCUKW7iPqrp4W9RFNgG16P3hlFFGtnopobkJNpg4/5W0fPTR139Qg3PHhuqQ6zkQRNRwiGvJNGIte7VoTUVlFH1GA1lUwvL92560z/EQ0ZYxX2HN2mMh7E8dUPlNIyG2JKkUtpiewRAkiGo6QDLWTl2P1SYoGhrPq722KNFX3BDMHN79TfYcv+9iUh11FNG8ZbDuiSP36pU3lFzeblihbIEDfDpXEu0oFHakaUW/C39a5nDs+dGlVJCCs1aCP6DRojioVOW0UW+N2D6n2U88/4fgT0ZlYc/1kM2VkQdM8a67tPSalZDjfS5Ru3n7+85BS45EDTwESIsmCyg7MfNEwFIUTL1FpxR9+HF7yWbV9lvbDWsK0TYbNfYStFVU/J1Ti9e/PqPCx7oSqkT6762weOfIIWXsC7BBxrYNjqalhRRlb1a/nakVEbRvu/xI89b/QdapaAPDDVUR3/grOfZvaVoaIumNKhlrRwiNBL9F6YYo1N+lla8wQNsVENBmJIKUgZwWKaDkERLSOyOQtYiGnRlQTGAvImps1LF745fs49W/v4tTP3slwKlitWWgYmFAXrhE/EXUUUV0rYWFyV9yKFFHHGugmJpZTRIUO9VBET71KTa7v+UeliLadoLbf/6Wpq/G77lRWpp//Zc1O76oRMwmiMMkR0eKEfJPu456aCypF1Q0caQD4rUhps/ZENOVLY04bOVLGBEi9oNolQk3YPiKac8YTC0VpjXSAsBnJ1T5ECbz6xuZIldbcX30cDj4Gr/kGLD9nysOuImrZFlsdInruqrby5R7Ny9Vk18zDN56nJlUrNgBg59MgPAK0fMUq2pPVKZ3zQURDWgjsMGmzeCI4khsGO0xnvLoWH/WEpyW6amUAACAASURBVIhO/5ueK0rNVe+ddKio6bPmjuXHMMmwPLGStZ3t6OZSnhvZrh6MNBWlCM9pAUUIr+Z8ARDRnUM7scjSzKlVP8d1qPhTc/vTioguiav2TO8+890MZYfI2EMgQwirvWSNqIGyuedrRUR/+1m4/4uQH4euU2Cynd0JHmPDO+AKJ7ivLBHNgRSsTJ4Q9BKtJ0qFFc1SEbWlUWTNjYZ0kKGi0LIAxQiIaJ0gpSRrWsQjLhHVFpQi+tMnDjKeVT+ChiXpnwhWaxYaBgtE1JvIqN6MdnFfSxelFNGw0z7i6GZFntpOLHmuuimiJ70QTn6JWv0d6YHTrlbbd90Jz91TvK+rhO660wttmSM29qhjHh71CIeUEtMqPZGzpY1NlpgeJzKf1txqFNGlZ8LEMahj25Fawp9WmbGmtuKYLW558hD//pudjGR81lwjQ9pMoUmvXUoy3ITQchimus5lHUIQC4XpiqkWJ+7ktdZw61Vbo1Uoor2b4Okb4bLr4MzXltwlrDspodLk2SOjdDdHWd4aw7Rl6c9O8zIViLJbtbAg1goXvAcQZPMThRCpy1I5Is3dVf9dek3TostDyBgZM03feJYthxRRSJnjCDnD8Kc6wbWGVmfN9SagvWnlBDGdhS1/jeixCUVG1rSrXrFLoyczYPaoB6PNjGQ90jjnMgp3gXJyyUJuYkqqcr3x5LEnAVgamb5G2UUpItqXUQ4AVxE9t/tc2p3+u1Lq5HMtU6y5hmUgNfW65u0azIEe+zY88jVocvr9usFhfpx+Nbzkb+FVX/F6/pYhooadA8Kc0LIaLRL0Eq0bJltz51AjamOhC4/UhnQNZIh8oIiWRUBE64ScaSMlxHypuUaZye/xwKZDIyxvjfFXV54CQN5cOGMLoOBZcz0ialo2Qki0UhNCs0SNqKvIPP1DWL5h6uqsAw294uRmNDfKeH6WqlbHWi8pd/2fwEV/ru4feap4v1Gnz27LKvjpO5VVd44wpZropXw/Km/97qNc8E+/K7m/Gw4R1xOEfVadItNijYmooEwK5mQsPVPd9jWGKpr11cTkZe2Ul5se6+G/7n2OGx/1Aj4yZo6clUbHI6LNEWXR7U8rFSrvpJcmwlGWOJPVo6naE9H9I0f52nYVCNMSrUIR3eWQxed/uOwuIae+07Ztth4e46wVLWqCA6XT2JuXQ6ofnrpRTYo/uVelqobjpB1Vzuz9U77Zd6z0ZPk4QyNGX7qfK7//Ud7yy3eRzhtkzAlCLBAi6hDJqqy5jv3WNlo4OK6IpUs/TZ81t3dMLV4sb1GLF+csOQs7lOafO9oh0sRobg41opPh1i5PVkR/+Dr4wnK46Y2qhvGuz6hU1+ec62XPI3DL++DnH4Ydvyqb9joT7B7ehzQTPP+Ek6p+jvv6+1NzB5xwru64t7DiXgOQIcYnmhjJjZDxpUYf9ZWBGHMlouNH4a5PwfpXwuu+o7a1l1j4bV4Gl39StVGLJCAUL0tE83YWIcOsbVuNCI1yIOglWh9YBug+l1kkqYjopM/3xqMbOTJxBIC+dF/J7AlbmkVEFAAZLrLhByhGQETrhJyhPsAFIqotrBrRTN6iKRpiwwkqGCK/gEhyAIWBiTRapK/ImuumZoZKhRWVVER9E7dr/qvsudQKc/nPwId+9yFefuvL+dH2HxXZyapCh2+CsXyDWgnuOtULL3IxchCWng1vvlEpf7e+d85hGtGQ+s6Z0rNdPbp3iNGMwVAJO3rKqQuJh5PFRFRM6iNaU0VUq04Rdet7G6RONGP4Prc1JKLjWZO1XUnCIe+zkTFy5Ow0IeER0RZHjTw24daAqfHEQxFWtij73oGRqTVjc8Xv9+8s3G+NVaGI7v4NrDgfmsork+GQmiTlTJPn+ic4YWmae4e+gp54rvTvSvMyQCpF9Ow3epOscJyUU0vb5C5+uDbNCrjhFTfwkfM+Mv3fUiOERBwz9iy0PoKW2Mum3n1k7QnCYoYpxHXCTKy5ruoZtlbQn1MtOAzn+Zb0rqWu1TzutHv4uyveQ8SO87tkHCJJJnztbKb0EZ0pwpOI6IHH4EsnKHs4Ul1/ex6Gp25Qqa4/eotq/fKTtypSuuPX8JO3wTcvgc03g2WqMLwbroZvXFKcBzANdg4cwDbbuGRdV/XDdxwC/oWAkdwImtBoibYUtnlEVCebUff9daL7hr0kWkPOkYiOHlaLlBe+B9a+GP7s13DJR6d/XqKzbH9ow86jEWZl8wqEkPSMBsm5dYFtTFVEoajVlZSS99z9Hl51+6voGevhmjuu4SsbvzLlUBKzkOrsQhCqjeK+SBEQ0Toha6pJkhtWFNJEeRvVcUDGULbhiLOqbgSK6IKClJJh7QkSa/+DoxP9PLxngMu/fB/PHlEJfyUtcgVFtIQ1F1SNYRlo6EhRmvSZtsn2IVWr9MXHv8iH7ymv3JREu0NEO06GuFr4YOX5sOsupdi4GD0IbavVY6/6Cuy9H+79x5mdaxLcVUgL70cgtvImEif9B+f/42/5h19uI5UzMS2b0YxRCDVKhhPzmJpbpSLqhPCQq53NdabIGhbv/cETPNkzfeKsq4gKGcImXbNr33jW4KI1Hfzda7yasqyZxZBpIpq38NLqTEj708ra6RLRWDjK6pZlABwcqz0RHfGFyixNTDO5zqfVgszaF1fczf0sHh5NYdmSEf1h9qT/QGzFT0s7bdw6NIANb/MdKMF4RhHz15zmEN9YW+UxAucvPZ/3n/P+aferFc5ffirtkWW8fo0659NHd2LIFDGtyvCnOsO9HswkrKg7eiIZeQzLtjCcdS2/SuJa2ePO9bspkuBs7RSyQoNoE+NOzZqUVdaUV4IbopXqg4Hd8MuPKiIJ8M7b4QMPwnVb4DOH4R23qon6DVermuNr74VP7IbXfU/tf9u18N/nq8f3PQgDu5SiOlhd7+beVC8YbZx3wvSfQxdukJzfmjueHycZThb12HaJqJQhpKlqi/11oj3OQpS0ophzJaJZp/wj5tQwr7m0OACnHJKdxa2WfDBkDo0oK5pUkFPKbIyyjHL47O9+yM+3PXq8hzEVU1JznQUvX52oG4Zl2iYfv//jpIwUjx99vOgwtrSxtAkiWvGCmSZDGHZQI1oO086mhBDXCyH6hBDPTrPfRUIISwjxhtoNr3HhxmzHC9ZcZwV0gaii6bxqLRMJqXEFiujCwnjOxNYHEMKmL9PHk/uHOTCU5rqblYpYmoi6imgJay4UN9WeBL1CWNGRiSMYtsEnL/wk7zj9HTx85OEie9O0cBVRf1uK530AmpbB3Z9Rq/JSKkXUDTM6/51w1hvg4a/Nqedo3nIUB184S7hlC3rsKOedmOT6P+zjZf/+AC/40r1c9qV76U8p61NzJEFU94cV+Q4q7Yqv5cxRRfsW8CaP+eNHRO/eepR7d/Tx7Qemn2S6RDQi2kDPYN5yLfzfdXMew3jWpDkWoinmvWYZM4dFlpjuEdH2uCKiDxy8j0Pjhwq1eolwlFVtrUg7Qq+bLFsK+RQc2jjj8fWn1YQ0tff/Y3X7NJPr3k0q1dpNtC0DVwE6PKIUrCO5LeoBIUsHFjUros2yczxLN0CsDWP/vQBcuvebatuknqULAd96+b/xwFt+w5tPV9OJXUN7MEkTDzUf55EpuLm31VpzpRSc2HISCIuDY4cxcfuQeoqomzIdD3sT4jiSvAAizQUboJCx6q4XleBac29+F3ztQi9VHaa2GznxUtCjMHFULRB2nqwU9nPeCB98GN7yY0h2K6fGVf8GH3oUkHDja1RLogqQUjJu9hPXu1SoS5XQSlijJ4wJWiItRfu5fXyjegRpqs/OUMZTHw+Pq++/sDqxa0ZEqyfUgKOIlrbmmnYeXYRZmVwJQFo2LhFN5XLccfhf+NsnruWRnh3TP2E+YZlFbZUKiqgvObdnrKdwf+fwTi5ZcQn7x/YzlPU+T33pPhB5mjXfQiAgiBTZ8AMUo5pl/R8Ar6i0gxBCB/4FuLsGY1oU8BRRdXHVNTclb2EQ0ayjiOoaiNCwWlUfeA5ufrey4AQ4rhicyCN0RTiGs8McHsmQiOjkDHUx00tac0spos4FtVTKrg+ViOj+sf0AnNR6Eud2nwvAwfGD1f0hoBTRRKcKLXKx4jx40w2q2fezt6of8fw4tK729ll6plqJn0Ej6Ht67uHu/d5lyK84fP2Zrxe1UnjVZc9x8wcuZmV7nNXtcVLyCHds/wMALZEmwrq/fYvvUmlbdQgrqmIhSA+peqJc7RNoq8WvNitr2NlV9Jx0U2oTeitCzxDe+jPYeP2czm9aNum8RXMsXBQC88zBfiwyxHVv4eWcJadgm0l+ceD7vPK2V3Jf//fVeMJROpNRpNnMQKZCq6CN34fvXQl7H5jRGIcyajHjnuteWbj+l8Vhh+iuurDibhFn4WkonaM5brLbSVMVwsIoVafXdoIiDxe8u3j7G67n0DnvU7vkHAUsPsOJ8zxAExpCCE7pXIo0k/SM7UOKDE3hBUJEZ2DNNW0DpM7pTmL5xiM7C2FFxUTUseb6rt8JATlNwwrFC3XumozNve2Qv2Tjdd+FP/sVXHsf/OlXIdYyad+4UtUvuhbOfUvxY5oGp10F194DnzoAF18LXevg7T9TVtXHv1NxGOPGOBZZ2sNLZjZ8Z2HGXyM6lh/zrLgOorpalO1IJNCkujaM5kcLjx9NKSIaF91YzFGxchXl2AxTnV0Snx2d8pBFDp0oy5LLQAoysvatzeYLfSkvMPDRQ9uO40hKYEpYkeMk8ymi+0b3Fe7/+dl/zgfP/SAAn3rwU4V5hbtPW7i4FZEmQpgyUETLofLsFJBSPiiEWDPNbh8BbgUqL+v+EcFVRF1rblhfWEQ0lTfJNv0X775vO02nQH96A/z+m7DtDrVK/1e1SS0NMDsMTOQQIUVExwxFRE9Z0sS7L1vL5zdBMlLC8lNKEXUvrs2Ve7Rpmo4UpSc37sV1TcuaQt3kgbEDrG9fX90fE47Bx3fBZBV39fNgyRmKnCxXrSVo8xHRwqpkWh2jClz/7PUYtsHL17xcPdVRRI2xc/jWpm9xT889IAUIyX8+9Z+c03Uf//Smz7EyuYYX/OQv+LmblxRLInTvR8hNyQTqEFYkqtc3ok3HTRG969lefrNNKRzV9JzMOkSxJdLBsLUHA5hr84+JnIkW7SUtokVE9Oj4BJGuXEEBAbhkzTp+dtVd3LDxMe7d9yjj7AagNZbAioBtNjOUrTCxG3AW5H71MaX8+L9XFTDiTCiXJqsgeM/9DtrXqL6fFRDS3e+OTaK1h7S0WBpdy9H0odKKaKIDrntWTXL96F7PoSUXw8CvSLi/RTNVcOYRIV0jZK3kYHYLQs/SPEnxOl5wF5arU0RNBDoXrlzPD/bDM0d3F6y5fiLqOggSEe9zlnCuDBMiTNpMI6WGkJEapOb6iOg5b/Lurzy/9P5X/8fMjr/yArWQePjJirv1TqiFraXJZTM6vLsQa0+y5k4movGQIhRhPcyq1k4Goahl00B6AGnFaQ63kDH3z2gMU5CZZM2tFhe+F7bcokKh/uSfih6ypEFUixDWw+iylSyNS0T7Ux7R7iujAB8XSOnUiPrbt7ip0p7za//YfmJ6jFuuuYUTmpVz68/P/nO+t+V7XHPHNVx7zrUMZlTJykmtxcFbughjyUARLYc5z6aEECuB1wLfqmLf9wshNgohNvb3N67FoBpkJ4UVuRPZcm0j5hsT7KJXbPf+n+6Frbep/wzvVyliAY4bBn1EdCijYttXtse5wqnrOmN5icljqbAid4L7wsqWSPXDXrpGtGesh7jWzP3bU4UL8HX3X8fWwRmkt+qhqXZWIdSP8JGnYfsv1Ta/IuquSs4gRn0wO8hgxvuRc4OVYsPvInPk/2fvvOMkqcr1/z1VnXt6ctiZzRlYliXsLksQdhWQKAooKKKo1xyuqNdwDXh/V71iuGJWQFG5gIIioATJQbKEJW2OszOzO3k6h6o6vz9OVeeZ6ZnpXRad5/Phw2xPdXd1T/ep87zP8z7vBWwZ3gJC0uI6hC+s+gKdkU4u+utFvO0vZxc8Tp23Bq9rtLAiC8op0pPGBHq+PDVV6xEdTAzyx5ce4sUb3sFPHr183BCqe17dR5M9b3LU+ZV5SNkb6wavCsMJa1Mn75GkgbftL9zU9QWe6nkqe7vQDISWpMZd2EN4WHs9V5zzZp76xNe47i0/4ienfJ+Ax02N14Vm+YmbY4QoDe1Qm8qBrfDYDys+x5FUBKSe3QQXYOv98L0lcOUR8P1DVB/0Ue8e9zHddhFHCInl3YJH8zA3eDgIa/R2j5rWshZyZx5lwNnEH4SKaD7muNeRQu0X6rwHhyKa6xGtVBF1ceTMWUjTx9ahHZhlrLkJWxEN5K3ffqnW5IilkzDiCOlBVBpuNhZq2pTC+dEnpvY4Y6HjKNj+ILx8y6iHdEVUAunscQqlxXCV6dGNpCOE3OUVUZemM78phJA+wqlc8uxwahBphKjx+AvaNyaF5Igq/LrLfO/Hwpw10LQolyxvw7IkGSuFV1OvQcOLOVX78GuIgUTufR9MjJ8xcMDgXPfyiego1tw5tXOYW6uSkH/+8DZW113M6hmr2RPdw+WPX86Pnr8SaXlY0jSz4Cl0PNOK6BioRln/SuALUspx4y2llFdJKVdKKVe2tFQ+u+z1iGJr7sGmiKY9zxCwLL7bqyps9d0Pqg3/0e8BpIoin8Zrhr5oGs225iatMDv6Y8ys92PaX7MSa+6+V1W6ocsHwbyAlEAjfG1IEb4xoAsdRlFEu6JdJBL1fPbm9bzcmVtM795x9yReWRGOeIda9J/4qfq30yMKZauSY0FKSXekl954f3aDovqzNO741El85sSzssfO8h/Buw97N7e/9XYuPvRijm4tVAIaA6GCHlFBMRGtrjW34j7YKiiiSSPJG65/MyffdDL/9dwnuTizgV9uv4XtI9vHvF/3cILW1k40XydmBWMbUk5Ii1+NBwnrE3vPpJR85LpneWhTro8znMwgXFEMmeaunXdlb3c3/h2hmYRGmdupaYJV8xo55TA1308IgUf3khlryPjgTlh8mprt+cj3YGjX6MfmIWZE0aS/sHjh4OmrVZFv9rFq89m40J7vOTY8Lse8ZJLxbOGo1qPwuQIgrAmPBQvb6atZRdQ7QQXnAONHb8nZixsnqjbtJ0xEETWlUkTr/B50s5WeeCeG/dHoj49w76sqSddRRIPunCIatIuDUSNFykwgpJcJFa5Gg6bBWd+DtsOm9jhjocN2ufzxfaP2im4aUORrYcPssr8fDU5h38zbdkbSEWo8hd9/r+1i0DSDec1BLCNQoIiGjUF0WYvP5Qc9zn8+8vUJnUcBksOqcDWZ/ABPsGSUzubeCCZpmoPqNQl0rKn+3V9DDMRzRHQkPTzGkQcYzjVAy1dEnVTpXBF858hO5tXOQ0rJNY/u4Dt3b+J3T+ziynVX8rfz/8ZvT/8tq1tOITO0htmNhWOmXJobS05w2sC/EKqxm1oJ/F4IsRO4APiZEOKtVXjc1zWSRWFF2R7RCpSEcugeThBJVk+ldDNEs2lSa29iGvfeB63L4NC3qAPC3VV7rmlMHEoRVb2AjjI6s96f7YnRitWlP75fXcjec3vpOIYKlChduBDCYl9sHyOpwl6V3eEuMim1Afzkjc9x/kKVwlmsPk0Kvjo4/HxVeXT5C2caZvs0Khv9ETfiSJEBYWVfQ8YyQOq4dcGpSxdkjw261LnX++r53KrPccVJVzDfnSOqjb4Qnjwi6tqP1tyKw4oAPKEpK6Kv9nYybHRTkz6ONUZuqY4+9lM1euGna+Anq+GZXxXcb89wnD2+HxCc/1OMCsbqONbZ9pBS5UdVRC2r7JiePcNxHg5/i189d0f2tkjSQOgJltWvZkZwBgLBxYdejGZ/RyaimPlc3tGTDI00hPeo/uY3XQ5mSqU8V4C4EcVVbsxIYgi23gtHXQznXw2X/hU+9Vxh4WgUOCmhwhXFdHWxun01bk19ZydKRCP29yngFD+qoFTvT8xrCjHLq4LOgt6pmrurg3LW0NGgQkrU8XWuDkaMniwRdQW38qmHPgFA0h54H/TkKaK2WhNJJ0lZCTS8CKGNSUh29sfojSRH/f0Bw5IzoM4uLO54pOwh24e6kJbO4ub2sr8fDaMposVhRT5dvZdCZJjfHMQy/PTGcmpc3BzGJ+qzj/eXHX+a0HkUIDkyeZt7GSL6+NZ+ND3K3Aa1Pmjor2syM5zMEdHwQUVE7X11fo+o395DxfogPkjm5kvpiu7h6S06b/3pY/zPXcpNuK0vSsgToqOmg6PbjubU5stI9Z7JrCIiqgs3FtMuw9Ew5SuQlHK+lHKelHIe8EfgY1LKW6d8Zq9TDMXS9IaTpYqoY82tZAC0kVZzuPJUknde/SRX3relKudoWRIPUbxS4rE3wP74ThVsUWtbZMJdVXmuaUwOvZEoQlcbk1AgRUPjTn656+Ls3CpX/pwqy4KBLWqDO+fYST2fs7E65Y+ncMYtZ2Rvl1KyL9aDzDTwrbcdTiJt8uora9GFTsqskk3IUWvrZxdWk7P2mMoU0XxLrhNCo2xxGm5No6UmR5yLK+cAflfu4tEUDOFz5S5MIp94VnmOqJgIEfWGVKjTFNAVVu/TBYecyTeOO52repRa8YO9D3ADIypsJLIXtj2QvY9pSXrje3KP4aS2jgGHiM4cj4j+aAX8+JiSm5/p3IarZjObo49lbwsnMggtzoK6xVz75mv5zknf4X3LcopivS+PiJoZeP7/RlVjfC4fpmOXuu/r8Ltzc06Qe76sCg6N89V/oQ7Y88y4rxkgZcbwamWI6N6XlA1s4Zsqepx8OOE4elClFa+esTo70iVpTGyDE03HQQq8B8kosUrw67Ov4PCGVbznyFNf61MBJpaaa0oTzY7jaA/MxtQGSeYtc67gViBnZc8nokGbiEZTCdJWCh2fWi/G+Nut/d5DnHHloxN7QfsDte0qa8JXryy6ZdAV6UYa9cxqmNh8WMeq7jgzLGkRy8RKekQ9NrkQWoZ5TUGkGaAvb2ZnWo4Q0OsZyuxhykgMT7w/1IE3VOJ0eb57J8IV5+gZKvVaoE1dCX8NMZJU1y1peokZpcFMrxmyRDSvyFU/R7nL+jbCvV+jc/NfMKVFT1+I9XtGWNIW4pI1c9nZH8e0JC93jfC3V/by9I5BXJqgLVSYJ+ARfiwmMGngXwzjhhUJIW4E1gLNQog9wOXYmRNSynH7Qv/V8LXbX6FnOMH5x8wCJqmIvnIL/PnDsPRMeOeNGKbF7sE4/dHqbPyTholXi+O3JB77gpbQPIWhBdOK6GuKnmiuh3pJh+DYo01+9XKUe3ffC+QUEkBV7SwDamcWP0zFcOUFCUVsonPNS9egC52MTCONes4+ooORRIZv3bmR5mVuEsbkq+5JI8lIaoS2YJsKyJhzXK4I4iA/rKgC5Ceg9sf7WdywGMMykFLHpQsCntx7VrxhAVvhta8VDQE/s1M5BVUTwKa74f7/p6w8VR3fQuU9X94aGJiaIuooAi3BBtr8Jl32U7/ghl5vgHe+4zrEL08qUCn7oymkL2fdHUjvHPd5HGvu3PpxiGhRb5SD53pUxH/U6iRtWHhcGoOJKEIzafLXMys0i1mhWQW9rY35iZ/P/U4FDbmDcOKn4bhP5CxXgFvz4DEj8NQv4amrlCp/9RvhouuVGuytyyU9z1pZMRHNyBgNeplQHSf8qGVp6e8qgJQaurcXIb0sa16GS1NpvqkJEtF4Jo60PFT3E7x/0V7Tzo1vmVricjXhOFIq+daaMoOQan1d1LCAV3vAKrN+OIW9mrywoqBdKImmkxhWApfwYcpUWUKyZV+E9//2GRBpBmIHiXKm6crevvGvkPnfktC53sQ+rEwdHfWVhdFlH1YTSCkwZIbHuh7jtm23IZFo0s/LXSMsnRHCrWvZPm0hLGY3BpBmgHBKXSfimThSpKj1NPKfJ17KB+9/N8gpFBiTI6VupErhCZY4XZqHbgYfLG1U64UmXFgVOFEOVoRtxVczm0lq4XGOPoBwrLn5RFTTebRtAXfvug0rE+fxdtXS0ZLR8dYYXPPelTy+bYDrntzFXS/38Nmb1pMy1HdyQXMwO67RQa2nhb1WhLSZzhZHppFDJam576z0waSUl07pbP4J0DkYpy+SYke/bX/yOnNEJ9AjGrM31JvuhMheBmU9UspsEi+gqvzrb4DjP1WaRjoOEmkTl5bCJ2W2Kr69cTXr/A1K7XEHponoa4z++AD4oNZTS1+il12RncwOzebXb/41D3Y+yLrZ63IHO+r1FIioJgqXgmg6yg+fywW01LvaCHpdvOnQNr5150YSaZ2Xuyef4PcfD3+Rh/bcz/OXPK9I9SV/Lg0AmmBY0Z5wrpdwd3gfx80EQxqAjlvXssUggDpvKVEI5lmNQ14XIa+f+K4P4q5/RqWxvvwn6H1FVfhbD638xY4DVemu1Jo79R7RvrgiojNqGiG9p0AZ67aS7AjvYIGmQ17/VddwAj2wHa/mJ2UlCgbJjwbH9tpuJ7dGHCIqZXkiv+MR1Tvp8kL/VmJdt4MOwrOPjXuHOWJWI71RpWY0B3KzL/OLMk0B++9qmfDET6BtuVI0H/ymSmc+7RuwXM2mDAgYwIK7Pq/uc9o34cmfwVVr1b9P/XpuHuesVbDhdgj3KKVnFEgpsUQCv6tM+ErfZvX3C03MhpiDes90WYNbc2fHC6UmGCynQm8qSwCeRnno2fEtFfaI2uvrirZF3N5T/jjHQVBgzTXT4IZYJkFGJgnq9STMTNn14sbn/0F/6AeE2nZiRBcD507wVe0nHPkueOkmuO5tyvXib4RjPwSNCxjJ9OKWCwuKhJVAzREVPNZ/E4/dd1P29jvXD/HtjX/H79Z54yGt/M8Fb+WK+x/k0I630RryIs0AUUORIKdw2ehrYs2sFSwPk0L/eQAAIABJREFUvIOX4jdhWEZhobdSJEdyM7MnijLWXC3zHPjIptOr68Trl4g6BW6/aCUtyxcfXxNYpdbcnmgPn/BEERJmuAKApAUPf+U74JtDoOFcltZ0cY72OJ+9IY3u8XPDB4/FsmBmQ2lY1dzQLDanJJv6O1netvAAvbDXDw7u5pDXIQZjabqGE/zm8Z2cs6KDWp+qsjg9ZqMmHOYjX2m68Z3U/uZkXvW+n1MG/i93+x2fUXay3U9O+BzjaRMpMrg0L/qZPwBgY+NJ6pdCqI1SZJqIvpYYTCn75LHtx7I3tpeX+l9iXt082oJtXHTIRYXWUqdoUKwoTgCuomLG37v+XvDvFr9S+Bc02xYq6SKcmrzV5OFOpebsGLYDYNx+cBVVCicYVtQ5kiOie8LKjmnYPaKuonEj9WV6CWs9OXtYjc+Fz61jxheS7L5IbTx32RbR5EiVe0SZmDV3ij2iTsR8e6gJUtGsK8LBg7seVUWBPKWxeyiBHtjB8iZlobXGz6bLzlZrtnsgs4roaHNhf3sO/GQVvHIr/PIk/PHHARCayd93qblzg/aIhLagTUSLzr0lWKfmF/7feTC4HU76LFx4HbzvbkUq//QB6HkRgHqZJK0JZLAVjnw3rPkonPbfuQfLL+wsWKv+n2dXLoeUYYGWIOAq0z/dvxmaF09aTRe2WiPsy7bHDtdIT1ARTZoJNHzqbzx7zaTO5V8dTlhOJd8DUxpodo/omjnl1fBoKkXKTCOlhj9vNFfAVknj6SQWKdyaY80tJcA95hO4AjsBcNVsYSRxkPSkzT8ZjrhQFdB2PwlP/QKe/Q0ZK0PSGqLWPX6PdDF0TWCEl3NI6ESuXHclb5ytnAs9I3GOnlPPOSvaueOlHu5cP4DZewEhTz1BrwuPCJKyopiWSU9UXS9a/KpQ5ox+GklOcn1NRdT6PBl4akqIaFSM0GoYBDV1XdSEjvU6JqLRTBQpdeo9zRgiPLFZ5PsTTiEvL6xoMDWIBXy/t5+7j7+Ch1MN3BSfQUBKAtFdMLCNFb9fyY89P+Fnx+zljx85nuMXNnPi4mbmN5fazJc0qV7p57vHDgT8V8U0Ea0yBmOqqpk2LC5cmUuCcxTRioIljCQgYNGpkAoT9bUzSIij7I2ZeiJ7uO7uicevJzMmlmbhQce3UClrYZFXIffXlw5XlhI6n4GRKvRSTGNchNOKLBzfcTwAe2N7s7HhpQc7RHTyiqheRETv2XUPjb5GvnvSd2kcuYzZNfMAlTb6yH+sA8s9pThyM6N6aZ7ueoWMleGmDX/hsc7nkFLmbKoTDCvaMrQVaelIS6cnqqrdpj1M3lFDpVT/ryse2g7U5iWu+t06h8zIHaOFO/P6pqvbI6qW4QkoopmY6gueJJw5l+2hekiXEtHbNz8AmqvAmrttaBeae4TjOhRxMSshonalOegKIqQ7l5prjFFY8ATh5vdCJkaXW8dnqXXpub1qVFCvreY2BRpUAu1/NcCf/i1799aaeqVwbn9IBQ054Wtzj4NLblV22zv/A6K91FtKaU+/+0/w1p8qZ0ljXrU6v7AzY7kaebH1vjFfswpTSlLjLrMh7d8MzZOz5So4RNR22WiOIjoxG2bSTKDjg6/0wvvuGv8O0yhBThEd/3trYWQdJ7Pr68Eo7SPcOtCjHATSVVA0C9hF6biRwiKFV/OP2lMe0JoK/t05WPnYq/0KTYPzroKPPAqffhGaFsLQTnrjvSAkzb6JzRAFVctJdr+Tczu+yJvmvInLj7+cU+acSn/vIk5e0soV5x/BEbPq+OItLxFLm3hc6u9V464FJNFMlN0jqljZYfewh+zibn9skv2LRqpwdNpE4AkWruuJISRp/FKC3dOq4Xpd94jGMjEwvcwPHIPE4qxbzubMGz9Eb/Q17hct0yPquBP8674Ch5wFoRnUDOblIvzf+dkf3zTPw2EdY883PrJDKeUb+ytLXv9XwzQRrSKSGZNoKrcpaKrJKTzOxaViRdTth3f/ET75LPcd+SP+aq5hXmYb/cNhdu4bgkEVWsHOiYcSxNMmhrDwae6sX93ZNAKq4T5Z5OF/5hr41Snwt/+c8PNNY2JIGSYpqRbnEzpOyN4+r3Ze+TuEu5StJNBU/vcVwFVkzX2w80G86eVs2b6QwcGZzKjLXWDnNAXQhWdKYUWapTbqt2y9mTP+eDb//fR/8pn7v87lj/0PR/zuCHVQ1po7viKaMlM8se8+jOgypBGiL26HFUkTpJYbpWH3ajX6Sy8c+UE3Qgh0TfCJdYsA8Hc/VXhwVcOKJtgjCjl77uB22PnY6McXwZIWg6l+pOmjIeCHdKwwtEbCjuiLJDShwnpsbBlR/ZonzFwJkE1vHgsZOyhK13R0gjlFNDNGb/GHH4WzfwCzjyWDYLbhAeli27AKanNsxXW6Dx7+jjrhl27O3r32wW/BxjtUEvOldxS2Lfjr4czvqrm1P1vD/Ljq2UzV5RHOxlxfcH5hZyRp0NW2DrnpTojmlPcsNt0Fz1xD4tXbEVqmQF1XTxJR39PmxaO/9nFRpIjaGycn5KZSZOxeQ3TXQZ+Ye7BC0yZARKWBrmI1EELgF6XEa/tQj9r8SlfB2B+fXbSJZxJIkcKn++21p5SQJIt69rf1D5Qcc1CgYR4M7aQ7qgqoHTUTt6rrwiksqve/0dfIhw/9OtIMMb8liBCCX1+6Knu8xy6C1fnU+hnPxOm0ieisLBFV39n+xCTD4Mx0YZ/hROA4nJw2lL5NpIXALSUkbCIqdOTrODU3acYQ0sfKtuOIbf08qaFVdKaf4E+vVH792i/I9ojm9uvO3sbjOEZCM/Bl8ghzpEcVNqGiVpkV7XORUmPnyEFkST6IMH0VqiIcNdRBYzD3wb6985d42/5SWWpuJllQWeuNpFhvLcSNwY2338kVv7pBkVV/I+x7ZcLnmciYZDSJR3NnBz4XkApvbaki6gR1lNuETaOqGIylEa4oXi1Ie007HcEOgu4gp88/vfwdwt3KTj2FTWWxNdewDLbtmscf/tFJJGnQWlvYU6YLd7ZqOBnouip8bA6/QN+IjhFdRJw9/HnbjQCkjbQKmYGKekRf6X+FuBnBGFmBNEMMJtUmzJnh5yAzosZANAdKiWhDGXL6uTcvZdu3zsTVWXSxrLIiOqEeUVDEBuDqN8FvzqxYNf7yo19jc/xehOVXKnE6VqCI1iebkcLg72aywJrbG1ff+5mhmSC1yqy5thoN4BbBXI9o/t8zn9C2LlPkaOX74QP3ENb8NFgxavVZ9Gd2IqXMWnPrNt8HsV644Nege1metINeXrldha6d/QOoK+MQWHEhfPgRqJtFe0JVp2P5a3K+Uu7P9aFe/9QuLn51FdJIl4y1IbIX/vBuuOOzBP/2IQAWD/yj8JgBlYxK85Kx3rKx4VhzhTObWhWP0hNURDMyiUebpHIzDSCPCFWgUOUrogAtXtXmMMvUafEpErZ7eC8ZK4OQhQXBgF2ES2RSSC2F3+UooqXPm7LX488d/RUANvQdpOpLwzwY2sX2IeUwmV/uezoONFFa2N/Rp9ZAp32kucbLola1XjqKqFOAjGai9MT6kFJjVp2yBtfattrB+CSDdMwU6JPsvXYKV8463ruBtLCTrePqWqaJ13dqbsKMoeHn0uPn8eCnz+XKMz4OwGDi4FVEnf1xSV//+dcoyzmiolYZv9uD22phW3hjNc74nw7TRLSKKCaiLw89yUfu+whn//lsHui5GU/jY5Wl5hqJIiKa5BU5D4Ca8Bbmx15Qv1j+dpWYOsGKeCJtkhYSn+7FbfviSxTRVNFibG8AK+3Xm8bk0R9RRLTWrTbCN51zE49e9GjJjLQswt1TsuVCKRF14cWMLWLPkPp7t4UKN64u4SFjTV4RlVoCM9lGfNe/YXV9isPr1oHIfQaHUzF1YRB6RUTUKaRIM4BlhAhnVBW5mIim9r6V6OYvE/KWBgo0+MrPRdU1AbseV8E3DqqtiFa6wXD+zo5F3q6WVzrj8q87blM/2HM3i625h/kWIy039xuJApI4lBoA6aLOWweIisKKDCuNMz/Rq+UpovnKjbOezD0B3nNbwf3jwkONGWdOcD6Wu5vukSThtNq01D39KxVstOw8+NBD/Pz4/+ZXh30Uz+e3KRvgWGMUWg+Bf7ufPS1qjEo4Ocrnq6iXc6dsZ5O2EHYW9k/z7G8Uaf/AvTy77ucANCcHC4/pm1pirn1CANl+Q88kiagpk3j00s//NCqHXmaO5WiwpImWF8TmtFhckPJx5UlXA9AV3UfGSiPy8yOlxGevfcOpCEJY+F0BNLSyDoq0vQYub1Wq+7bhg5iIJofZ2qu+E0uaZ499fBk4RDTfYLbLtiLPbcolY9f61PvpKKJOATKWidEX70MaNbSE1HehwXbEDCYmQUQtUzlIJpuI6ilyutiKqKfEmvv67BGVUhI3+3ERwKVrzGsOMqdeJQwPFbvvDjSs0YloNuG2Pu8z+vkdcOg5qvBfJmRqNBxRfzIxbSPPd++oymn/M2GaiFYRA0VE9JatN/NC7wssbVCbDyvdVFlqrpEqiDnvDafolWpQsj81wBptA9G6JTDjcHVAdO+EzjOeNkgL8On+PGtu3rn76koVUTvgJKvETGO/oT+WQugRGnxqoa7z1mULBmUR7ppSUBGAXpQSaMSW0BzMEbO22iIiqnlsojE6LEvy0Jbyi64lYpjxRXiNpfz2/cfy5sVHF/x+IBZWRMATrKj44fQsLmypxS1riRnD9u0G+eHgbt2FNEMEPKVJ082BUchLuEdZYJfmKdJV7xGtEE12D+PAVnVeDraOHaLjwIzbfcYO6S+y5tb6GmjSD+NpVxIrTxGNZAbwUGfbBvWKekQNy0DYlkS/XpMlolu6+nhqu20bdP62y94GNS0F90+g45UmR4Va0FwRntq1i5g5iBc3vpFOeMNn1Wek7TDqll/I6lUfy9m5x4Pupr/tFPXaUkVW4XfdBG+7quCmpBnFVfs8T+rzlbXXIX97noXHfghLz4LZq9ntVZXz5theNe7HQf9mVVRpmGSqJrneUJElonZY0QSdCSYp/NNEdEpwTcCaKzFwidz6fViL+g67pWRh0wykFPTG+jBkGiHduQJQJo7P/nnQLjgF3QEYRRFNWxmk1JhXNw+AruhBGjhYr9agrsGtWEaQeY0N49yhFE5NK//9H0lk8OgaNd7cel/rV++7o4g2BxUR7Y2OMJgcQBohmmznWr1diByZTBicE8BWHLhXKbKKqENENxATLjySPEVUR4rKiGg4fRCNRwEe736cGJ2EzNy86PZa9Xd35ou+ZnDWT210ImosyJv9nOeUUSFTlZ3/R1ZehBCSa1+4bfyD/8UwTUSriMFYoUIUz8RZ2rCU76/9Pse1nQrIyohoplAR7YumSOIlKv3UZno5RtvMtsAKNWQd1NiDCcyXiqSSWELgc/lV4IXUiohorVIt8tMts0T04Frg/hkxEFWKaLO/gp5PKW1FdGpE1KPlLqBmcgbxgVV85azciJIFLcGi473jhhVdfv/v+eTjb+Gqp+4vuD1jZkBLMbuukZs/chxHz2ng2NmF41AGE/YF2e2vqOI4EFWEZs38Znx6PSkZxrRMrCJFdGa92oD73KVEtCk4SuLhbjskbPGbc7dVOzW3AmUFUJs4zaWIaPdzudtTldmbatyqoGXEbEKbjhbM8HJ5Qpwy7yT63BavJnJKYcIaJqCrwoiQGrISIiqN7PzE5kB9loh+8ZZHufCqJ0kblgrogNzM2DykhI5LwgmdDwHw7F8/T0DvZnY6qcKDFp9W0WseDX672BdNFxU6lrxZWXjzsDHyMP6Zf+BXrT3qnP94KVx7FlzzRrWJPPO7AAzZNrPG2D648ULofFo9QP8mNdphshtVIKuICqdHdHKKqBQp/K7S93salUNkFbnC7+1IPMMbvvMAX/7zS1nV0sJEz7PmvnH+kegSZghB0ONFWDUMpvowrDQdchCumKfW9FQ0WyQaSanCWo07iBB6WSt/2kwhpIsGbwMaXgaSo8yJea3RMA+A/lg3MlNPR/3EiyI5RTT3PoQTGUK+wh7buiIi6qieA4kw4fQgmKHsMY22Wjo8GWJUps9wQii25vZtYlj4lSJqFyF0oVOuN7gYT/Y8ycm/P5me6MHz939kzyNgeVjoyxG6el8NUgrCeT2W8XSa06+7jGv/8eCBOzln/cz72/XH1Dnd9rzqI96ZznOj5TtlvHbacc+LaqTiGFgzexEi08qLA5XNox4PmwY3cdeOf46wuWkiWkUMRAs35gkjgd+u0LuEC4SJUVFqbmH6Wm9YEcI+WceRqX8QFCmeMA/NkY/bPq4SJAuefAi+u0ilRxYhYseT+7PqgQujwJqrNqsFgUVJ25o7rYjud/RHU2iuKO1FClFZxAdVb8oUrbmH1q8m2XMe0a2fJ77j08xwr+CcFR088aU38sLXTi3ZLHh0LxZjjwfYMqz6l5/sfrrg9v642qwvbm5jWYdSIRe31JPqX5s9JluVdvsrUkS7htUF/LD2RkKuekAylBrClGbWyghw/QfX8O3zlhP0ls6Jq/WpfpAZ4qTCX+x6XFU+O47K9a1WMeRFMIFxHrpLbeQGt0HXs0pla10G6coSMr1uCzPVSmL3+9QN6VjBs7tdIS45QhHuR1FKoWVJDDFMrdsZ1l6hIirTaLYiurSllWFd4zG/j82Lb2Jd41V0DsVzf1tPKTHKAAgPh/ar/spk3QaC3i46TBMu/L9Jj0FxEBiNiJZB2lTvRVSTqgDY/YKyjJ/8Rfjks9l+1GG7UBdyCo7rf6/+37thyrNnRVFqrjeriFY+piNtmKClCUwT0SnBZVttiy2ynUMx9nE3f3j1DjbvU2uYxCggooe1zeE+92JOtW9zyTrCmUFcZphGK6qKvRv+WmCbjxhqzazxBkbtEXVSd4UQhPRWomZv5SFoBxINShGNGMNghWiumTh5K2fNDSeNrALqwCGZyYxar5we0aFEhJg5hJs6NDtI0nHERCYzp3mqRNQZ+5KOqZ7zSA9R3LilyBIcTegVtXC83LcBQxrsGDl4LKAb+ndgpps45dBcwVwTGkL6iOYpip+443t0Wfdx08Y/H7iTy/7tct/R/pi6nv7w3p28/ReP87Hrn+MNqR+w7bw7Cu/rCaoe0RsuhL9eNubTCCFocx/OgLlxSvkaDq579Xq+8vevVhQceLBjmohWEcU9ogkjkb3gq2AJK6eIdr8At35MLTrFcFJzURe6vkgKTUAv9XRItSj9ZXhu4WD1/k25n8M98NIfVf/ojtJU3WRSqZsBO4FTky4MmbeZ8drVH8eeK2VOETWSE+5JnUbliKcNrn9qO0JP0BasYL6aM1JkiopocyBEZng1MqPIxkWrZqNrgvY6P/WB0ourV/diMfbnQPUTwkiRdWVPWCXaNvhzVlifW+c3515OuvdMAIaTjlIWrKhH1Olx9rpd1HuVktyf6C+riF60ek7Zxwh6dCIbvskxwQ8V/mJwh0o71V25DUNVFdHyG8tR0bQIBrZB13PQtgwCjRW9RwCmzCDNAPd9Rs3dK078c3trmVc/lyZD5yWPOqfhRAbhCtPoa7bPVlQ0z860jGywzto5JxLXNL7Qov42L7Ruo2fLs7nzLqOIIkxebTydxs+pDdU9IR+Dngwt3pasqjIVZIloavxe54ydVmki4LMb4LKX4UMPwrovFfSj5oio/fd87rfKoju4HVqqQ0S1bFiR3d8/AUV0MB5HCItgGeI/jcrhkJdia+728Ha8bXfhn3U9D2xTs28lZknrQ7PuR9j39Yl64uYQupXXr/3Kn3NuBQm9lpoXXuutsQtXpQQzY2WyVvhmXzvSNUB/9CC8VvvqwN9AwkoQ0EMFCmalKGfNjSQz2Z5QB84c93BCfUca/Wr9Xt//HEk5RECvzx7bHFC/i1TY81eAqimiUbj3a0jNTUS40YUbnv4lrP+9rYiOv+7etUHtBR/evnVy57IfsGN4NzLTyCmHthXcruMnbqpr0H3bnuXpkT8A0Jc6gOmyZf52SdsNqAk3bl2jucbLMSuOYs6y4wvv6wmpfXKkB7beW9rSVoRj29aCSPOTZ6+d8mk/sHknaStFd6SrZJ726w3TRLSKGIimaQnlUtMSRgK/SxFKt+YCYWFm0vDAN+DqN8IL15cfkJ5JgEs9zkgiQ9q06Kj30y8VQdwmO3gl7Kcvk69S5S3mvzgR7vyc+jmfoNpIOv0m9qZalCii9sbKsfuloyqMo3aWffu0PXd/4ZbnutgT7gOgqRJrbhVmiAKctKSFdx07h3VLW7jjUyfykbULxzze51KK6HVPjh6IUet1EgoLF+eesCpqNPvrC24/flEzl5+q5j6GUw4R9Y+7uAOk7X5Gj+6myafet4HEgB0UUqp+loNL12gK+mmrLbKKZeK5MIn9QESFEJVm5io4RLT7OZh59IQCE0yZodbrY1FrXgU+D16P+u6HLJ2EUGe1ZziM0JO0BpRCL9ArSs01yaDZxt+TZ5/MWdEYI7oiUYYQGBtvyCm5ZXo7JSa67gFN46JF52VvnzelwJ8cgh5FRGMVKO6G/fkaL904YjtGQpYFS86AlkPgDxerIJPWQ6Z4xjYRtf/vddnWXKtyItofs8+veLzMNCYEJ9ytuIAUSeW+T491Pqt+EEbJeCyElk2lrnXV4ZWdNBudioiu+4pqB3jiZ/axubvVeoMIoZW18hsynSWiM2tmoXmG2D04CVJ1INAwj4TIUOMae/7iaMgqolaxNbdQEa31q/d9JKH2N012j+jj+/4GQMjVkHesF2m5iWYm4frK9ohOMjXXcaGt/z28+AfM4/+djIDB2iOhbg7c9Xm80qioR3QwpRLOe6JjW0X3J7YMbckGCJqWyYixj6DWVrA/BnDhJ2nGSBkpvvjolxBmDc1iFUnRjVmJe7AasEqtuQ4Rvfa9x3HDB9dwwwfXcOVFR+HWi677niCMdAJSEdpNY1tlP7rmdKzoMn776lV0R6bWwz1k74s2brgNfrAM9r40zj0OXkwT0SpiIJamKejhDYub+Z/zlhcQUZfmQgiL9l23wiPfhcPOVXeK9Zc+kJEC+369EfWFEK3Xc7+9d9wWWAHAy91hOOZSdWM470Mdz3tMJ60xD+mUIgJ+e3Ot4caURWFFkCMATmKubamZJqL7D51DcYRLXQgrI6LVUUR1TfCtty3n2vetZllHXemCWwS/y4vQDL5668uq168MnE3CSGokuxEA2BtVhZCWYGlIhZNcm93QzVkDu5/IpcSOAsNWhTyaK0uY+hJ9anQClRFRgFs/fgIfPnlB4Y3pWE6xc8Z7vJaKaOMClaydHIGZx6hzq1QRJZOdaQiUWO19tlLmQSNlb4C3Daq1ZWaozT5brcK0UCNrzQX40sAgRyZTnB9WFXBP/wM5RXYURdTZwH/5hP/iLQ0qtdidn148BUyEiJrZ+X1jbwSjRgSkhn/dV+FtP4eLb4Yae25klRVRb1YRrdya22ePppgmolODPkqPaCzP5r1lRLUmSExcxWFzmkvlOmSSnBh7gYhmkdDslNQ3fAYWrIUXf1/yvPXeGsQo454yVjq71i1smI3Q0mzqO3j6BPNh1M8lrkmC7vJJ5eNBH9WaW7jWX7hSFVedNb3BXxi6F8pLSve7daxUG12JDRM/oTIjQCaE2nbV+rH5bmhaRHT1v4MwyQRmwiW3QCbBvOjLVNIjmkZdX/fFJxZiWS0kjATn3X4eF99xMaBGf0kM2vylxXKvFiRtxfnzq4+TEj2cOfNDHNlyNEJP8Epv14E54WxYUe6zk7RvC3rGKSx4a3J7MFBOhjEws97PBw79NKaUXHb//5vU6ToQumoX2bLjQRVo1bhgnHscvJgmolXEYCxFY9DDdR84lneunlNgzVUVVItAeLuaNXX+r1QFJl6OiOYUUdUfKglrL7DNrxa75MzjEAJe6hqBc36oQjtGq64MbsstkjYy9ggEn61YacJdaM31FVlzHVtuvW1pfK3jtv+JsXckSWu9WgQdZW9MhLtVn2BN634+s0L4XT47eVWye7A8CXJ61yJmF2f+JFcp3DKoVNTDWuaV3KfepzbIWXvU6g+piuXLt4x5Phm7T8Kju+kIKSLaE+mzyVBpMNFomN0YIOApIq6ZeK6HcX8oooiJWWuaFuV+7jhanVuFPaKWzKA7m2LLguFCC1TAViYVEVXntGtEbWbn1M2wz7eyOaKmzBSo0XWW5LqefbwzrMhvhEhu7EwRETUtCcIqSIv+xBu/zzFtx3DqsndV9FrHQ8ijXms8M741N+sYEUbB7MJixDNRhPQjTvqsSles7YD33Aprv6TU0SmghIi6Rrfm7uyP8XLXSEmP4FBcvfd1o4wqmkZl0GxvaPHX1ilqaHiJyG1EkhkQZmnquaarde32T7Ak3oklBHt1lyKimg7nXQ01hTZGAL/Hg4agHCExZSZb+DnUXls39h+cI1widk91vWty6c2Om9eSEiklT+8YpHMwnrXiOqgLuLn2fauzqe81+dbd+KEcUnNi3mMK9MTh9Ge2ZOcmVwxnDvtk54iCLSoIOPtKktKDEBk1x7J5MZz4GVqTu9DF+EWnhKWIaH+ib/LnMgU4IUmbhjaxY2QHu8LqGjO/rrQlxqcHyMh4tkC2etZilrWo69uzXaUiyn7BKNZcKXV87nGK2J68dbR9BWy9PyfcjIJ/X3ssTZmzeHXkMR7c+cRkzxqhKSK6Z2STKly9jouL00S0ihiMpWm0o8BNyyRlpkqsuf7EXrU50TQINGejuQuQyfWI9kaSoKWxSDMsvMSll3jHccxvDvJS1wjD8TRGcEZOEY0Xza+zDNXjlgcjo770foeI4sKSeZsZRxF1HssJKnKI6HRg0X5Dz0iS2qC6qFVszQ21q83LAUQyrSGExF3/DNv7yoc7OAPWNW8/ww3fyd6+dWgn0vKwor10fly9Xy3sMYdYVfjMgczNAAAgAElEQVSZy/aIulzMCNUhLQ9dkV4sylhz07GKhlDnHjyRCylqs0cmDVSz/0aMa/ksgENE3QFFbtzBXPrsOLDI4BL2BTfSrUi2Y7kHgnbfpBc9q4h22WEZixo77LPVsSqozKu00LyNoR3A1m4Tpx2uALx4s/1aCjekacNECFOlettor2nnN6f/htZAdYouIa86n0qIaDYQQpglDoDP3PQCb/jOA8TTBt2RATxakbrbvBjWfnHKAVeixJprhxVZpZvT9//2Gc7+8d/564uFitiQHVTX4J8molOBk1xc/D2I20R0fnAFmq+HZ3buU8q+VmzN1ZUiuvEOzIZjAYjoGkNu+7tY0wpv/w0sfBON8XOZmbmUlTXvZ938I5Q1t8x6Ycqc22GR7V7aOdxZrZdcVYzMXgnAMfEX4e4vwV8+PaFinBACIWB7X4yLr3mKd/zyCVKGRcg3NnHIH+0S23sarTWF1uAloTUAPGQndVeMrCI6hVTso98Ln34R5r9BhSsJE6+Tsn3iZZhaEJ2xbfiGZZBB7dfCRpm95QFAVzSnEG4c3MjLfdsBOKylVLELuGqwSGQdUHW+YDZQKpKZRGjUZFBGzU6babBceF3j7KvyiejqD6mZpJvuHPMuuib4+rr3AvDo83+Z1CnH0wZCV3uk3SIDKy6a1OMcLJgmolXEQCxNc42qiCXtlMUsEdUVEfUl9ub6+QJNECuzWBjJnCIaUTMlAXpFgFWpn6HVtrN8Zh33bdjHkf/vXu7bo6tgor5NsO/l7MNsaVyrfijqEzUM9QX32n0JuvBg5gfPhDpUNXbHI+rfUbs66ASETFtz9xv2jiTx+9UCU5kiOvUZopPByrmqWu9rv4VNvYNlj8lP89TcI1klaV9iD17ZiquM/bfRDoyIOsRKCDXfa5w+OKeHz627aKzxII0Q+2L9SAqHyQPwwxXwPxPoqU3Hcoro2i8pIrjsvLHvMwGMFj4yKkLtioS2H6kClNz+8oroxjtUoFEeCmYa9m9R/5+Rs7o6dtV8ItobU5X1rCIqKhvfYhWlhTpqQa0l8eHhSb1j1PEtKfuz45ms1a0C1NiKaNJIjnMkWceI0AxSRuFrv+W5LjoHE1z3xA5M71aWNx9W/ZNldGtuudTEXQPq87C1t3AzN2yPRWqYVkSnBKcYUNyrGc+oz9KJs9YghMXftj6DKFL21QO4ILoPMnHq6hdnb+4JrModM/d4uOQWHv7oN7j73z7LtedfhkvX7M9BOUU0jSacHlG1vvXED5C9cYLYV6eI8sqBh+DJn8Gz1xbsXSqBLgS3r+/m5a4R6gPqdRcrosUI5rldrEwDjcHC49ctOAIr3cTfdtxffNexMdU5oqCudXbhNZExEJqhFFEAt4+YrwNLSCxz9LW3P9EPQiItF0nZV1ELRbWxJ5Jro+mMdLKhdwdSaqzomFtybMgbQmpJ+qJqXar3BbMhcskKCoRVgbP+5/X3powUUrrwusahSN68dXTJ6VA3e1z3FsChbaqYOnvn71Rw6QSxZygOmnp/tngDyMPeOuHHOJgwTUSrhLRhEUkaWUU0YajKaGGPqIkvuS9HHIJNypprpODh70LUtlIYyWyPaF8klSUmQksTw0/Q42L5zLpsAfGubltN+Olq+O05AJya+g5v7b5E3d5XSEQtQ23+fF7Vo6eJIkVU02DpGbD1PhjaCTseVkm6M1UVc9qau39gWZK9IzFGxAt4NA+Bcn1zxajCDNHJoLUmtwC/2PtK2WPSVmFiY9eI+txFzb00eMqfc53Ph7R04kYesdLdqtI4Bgz74uzVXTQFPVhGDS8MPE5GDNlpg3mITdCylInniJK3Ro3rOPqSiT3GGBATVUQ1DY77OKz6gPq3J6jen+Jewd+/C65eV3CTJIPLmRnrqLoNuQ2CQ868uLJEdCDZB1Knwddgn69WkSIqZSZHekEF9sxcCQ3zaPC2slHPpc0Wj2+Jp9Vnp0RJqiJCXoeIVqCI5hHvRKb8Z/FHj9+N5oryzmVvqc4JFsEhos7nOTtHtKhIY1oymybaGykk2SO28tAYmCaiU4EoM8cSctf9E2cpZe0f+1QhqJSIalk7Z2tjjojWusYf2aXCzcooonluh4A7gJsQA6m9ZUe4JNIme4bir9l4l71R1faza9HH4ZPPAUIFvQxuh8d+lCt+j4F1h7Ry4crZPPi5tRwzR61NxeNbiuGkHQNg+UrmSb9hcQtG5DCe7X2a6ETGuGTtnVOw5uYhllafDV8esU142zGFwNhb/noLsG1IkUARXwZaguf3TqLfdYrYObIHabmwjBC7w7vZGd6NzDSwpLW+5NhGXy1CT7I3qvaUjYFQjohWYcRJRYj1q2K3N6eOp+1RSOMS0Xw7rL8Rlr9dped+ZwF0jj4vtN4fQEiICQ023D7hU945OIgQkpkZg7gwGUi+Nup3tTBNRKuEobj60jhENG6HhzizOp1Ngy/Zm505l7Xm/uNaePAbcN/l6vZMAuwvY28kRV2NvVHS1HMEvDrvWDWby885jPefMJ+/WMfz5Em/ZeNx3+f+2Z/km9Z72CJnEsNP1NsG/YVee9OOy/b71eLtEu7SmZBHXaIW1x8dDS/eBAvXgTPXcqIb+WlUhP5YCqvmOQaMLZXZD6W0iejUEnMnAz3PCrwtXP5i59hlT5v5TgBe7N7F9r4wlmuAubXlR6h4XRpIb3ZDByj1YJwRFY4i6nV5aAx6kEYNSVN9B0cNK6pk7IVpqO/B/uy/EBNURAHe+BVYfoH62SHJ+YFF5QJ4+rfiFgkOiz2vPjv9W5S1KG8z6hBRn9BJagIppZpxKOuym+9KU3NLFFFpqfCpf19Pe+1swm6DaNC2Zxf1iiUzaq0r2cBXEfV+9b4lKlBE8wt1sUzh8crtZ2IEnsOrBzhpVtEc2ipBiPLjW4yiAkQ4kcn+SfeFC0m2k0bdEpxcWuk0FJzZv8UhY85naV7dLAKilZ6UIg3uYmU/r8Aya+YR2Z87gu2MB6XGlq4XlsygixxxafZ1kJB9/GPXUMmxF139JCde8QC3vTC15M7JYp8dWCfnng5NC2HWKnj5T/DYD+Her8KVy+GuLyr78ii4+j0rueKCI2iq8TKjTu2XjDH6tx1IQ33v33vcXM49svDaefjMOjypIzClwd+7/175C5rq+JYiRFKOkJE3hcGnirdm17Oj3m9Tn7Jir2o5DYC/bCod37e/sXNkDzJTj5VuYsfIbvbFu9CM5rLzYttDLQhh0RNVwUqN/mC2PeSAKaLxfuVOzBsjlDYdIjqONTe/j1vTcuGh8QF44sej3s3n0vFJSVwTsKHInpvfhrT9IbhqLfzypILr9O5hRTxX2KPHXuo9QP20+wnTRLRK6I/afX2jKKJuZ1iuNAqtucOd8Oj3VUVm/Y0qglma2X6q3nCSoF89ltCcJC8XtT437zthPv/x5qXMaarhonvcnP5gOx/ZfjxXp0+nKehFE9DnnVuqiFpqw+q1iagu3JgYhdXRWSvh39fDmo+qje4RF6nwjbrZ0P18Nd+6adj45h0b0Nxq0/CzU342/h2SI8ra+BooovlhDv2Z8v2ShpkBy8Pa2ScA8Mf16/nfR+5BCIvTFq4qex8hBFgeksVEdBxF1Jnz6HW51GfflatmW9oo/ZOxCgIpRrGOVhNCTlARLYajJubbc/NThv/2ZVVQ+skxWMJkdnIHbLkHBraoTWBbzkpa41hzhYukUE6PmDmIT8slHKvB6uMTUSmMwrRQaWUv9vPrZ6G5h3m69ULV56oXFgvitkq5P625QbcHKQWpihTRHBGNpwuPr5lzHaFDv4y39hVOnftGfC5f8d2rAmcerkNEHbXYKCoKDOclVO8LF5LmqB0CVj9tzZ0SnB7RYkXRsXnX+gLMDx2G5lf5DJ5yPaI2mjqWZH+eXz+L8aB6REsdCRaF37flrfNxeQe56pHtBceZlmST+QtqDvkyj3U/Mu7zVRuGZfBglwopawuqudWsfB/0bYRnf6NI6SFnw1M/h+0PVvSYS2eEKn7+6LbPE938VT540gI8RYqXrgmOm3k0wqzhgV1lRuuNBoeITsWam4eYTcL87hwRtdyqeGSMIQTsGFZW7Hcc/gasTD3P9U7c9jlVdEW7sDINyHQTO0Z2ETH3UeeeUXZe7IJ6tRceyqjzDnn92aTapHmgiOggFM1sT1sppOUq+XyUYNnb4PhPwkn/of7dMBfO/Sk0LYZXb4PbPqH+XzyC7vEfU2OZ9LsblFDUt0kRzeevhyvmwZ8/Cje+E353rvpdz3rYl1PCeyKqkHO4odaVh7ZPzNZ+sGGaiFYJg7FCRbSYiDoXIkOIXBUl2Kw22LFeuPA6pU787cvqd/Zmpi+Swuu1N5haGk/LPfzvS5dln9fv0bnhg2v4wumHcO37VrH+8tNY/7XT+OunTqQx6KHHM0cpH1buwmVJdbH0+dVFoDkYxJRpHt5ctMDVdsCbvwlf2AGHnKlum7USuv4x1bdrGmVw76v7WNIB9d565tfNH/8Ozpyw0Iz9e2JlsKBOBQ/4tTpM926G46U2GqWIulgxQx37ZP+d3LfndpCCMxafWHK8Aw0vKavImjvOiIqsIqq78Xt0SOeCkGJiW/k7/fIkGBonVdIhd579SEQnMdC9AE6QUr4iOpz3up74CTTOxzrjuxhCILWAKnr1b1UXzKPfmz201qdep1e4kUIwkkqQlsOEXI2586X8HMNSmKXWXHsDPyvUgdDj3Ow+BT72ZMk9k4bTI7r/rLlulw7STdKsZHxLjuwVhxulvfaYDi3BmfPPrO5J5qHYmuuMtskUFWmc7+KMWl+JIur0Xgfdr9+ExYMBYpTxLSkzgZQaAbeXVe1HITSnd72IoDjE1N+AJ5izLC5tLu8UKXjuUXrKJRnced+3I1oPB9cg92/dwLa8QLmtfYO4atcjhEV3opqha5Xh6peu5uWhpwBoD9nryuHn51wRi0+DU2x3WLgyxfZdq+fw3+cu491rxn//sHxIM8iM2vIFoxMXt5KOLOHx7icrty47xawqKaLRlJMxkjtHTVc/p8dIZd0T6UGaHpa3t+GhjqHE+DO4q42+xF6sTCNWuolIZhBLJMqObgFY2qyu04a2Fyw3uqZTY4fIpQ4UEY3ZimgeMmYGZAVE1OWF076hHEoOjnq3Chqbczy8ejvc9B743hJ48Fsqb+KeryrVX/p4JWjnMzzxE7j+ArjtYyoPY/0NqjXulP+Cjz8FCLjzcyqRd3g3i7b+CIAFh52PNL1sHhxlj/M6wTQRrRIcItpk2w+cHrdiRdQE8NsXnrZl6v/HXKp6Mk/4lOrHhJwiGkmhu9VFRGhpNO9eNgy9kLX+AnTU+/no2oWsW9pKwOOiLuCmvc5Prd/NLm22UnXyZh05RNRvj5aZ21iHS7f4xcMVfJhnrlQjHyKv3bDkf0ZEUwbxtInujlYWUgS5xOVAhcdXEafPO517L7iXN3ZcgOYZYH136by6jJVBSJ2ZoQ6OnXEsnroXcdc/z5L6ZdR6RrcGavhIm3lKTkVhRc74FvU9q0+8jRM83wegQ5ySd1J5jxvrg6d+qSqRu58qb9V1vmf7deMuMEW4otCcssgqonnKb9FYFt79J9LHvAcAU69TSdojnSrRNY8I++24er/9PvZHI0g9TIM3VzHW0LAmo4gis0S03bYgbh/qLHh+B44111Oljd1oEGaIkXSpdbEYVoEiWlR0sdQ51nvrWdOxpqrnlw9HhXNs8Y4i2jMSw8gb/j4cV8R06YwQA7EUmbzfJezP8/5Sbf+VIKXAKiKEKTMFUn3mV81Ykb29RNl3WhuChS0YS1sqsOYKDUTh8+6L7UPq4Vz/N7B29lr13KFNXPPoDvucJX/b9jjCvn8kM/aoianAkhZP9jypAnRsZKwMv3rpV3hELYmuC2muscmnywsX/Fr9vOT03OzdcGVzUF26xiXHzRvfSll0n3I4YVEzZmIuI+mhguCdMVGN1Nw8OPZ/p18Sct97MzU6ueyN70Ma9bTV+nALPxk5fpGtmohn4sTNEWSmgdY88rmgoXyBYLbt5hKeQZBKCQ3Z17MDRkTj/QWK6HBymBGjB4EbXZtkkXjG4fD+u+Dz2+B9d8EhZ8HDV8C3OuDxH8GqDzIsZhCREg59Czz3O7UHOf3b8OW9cMmt8PGn4cRPqwCr5ReoeepXzIUfH0NjTPWeNx55McJoY2/i4BzTVCn2X7n5XwwDUUcRVV8mRxF15oi67U2DKURuPMohZ8HXBnMXpTUfg6evVkqX20c8bRBNGWCn5gotje5KYmGxeWgzR7YeOeY51frcbJf2YtC/CXo3QN9GJGl0KbMbGZ/LQ9ArefLlQZ7dNcjsxgAtNd7ySs0s21LZ9Q91/tOoCvoiatE1CDOjkrEt8JoSUSEEM4IzOLZjBXfsgSf2vMDJiwpT8QyZRuBC13SuefM1hNNhXuh9gXm188Z8bBdeMjKPlOmucYmoaRlIqSmVC2gKBkgkPDQP/ph5M/NCcZJFG6/1Nyq1/zdnwfyT4T23FRIjh9ztT0UUjYzWy6V3X8rvzy4dYj8unNEn+Yqok4gLSm0AEtmqfQ3sfR6QhTNJAa8d3uEVbpCwub8XoSdo9ucu1KJCay4YhT2eeYqoQ0T3hHuQUpasNQnDIaL7z5oL4BF1RDITI6LFPaUy04Tw9nDOwnP2a09rVhG1L9vO+r29P8LVj+7go2sXIqVk/R71GV86I8TDm/voj6Zor/Pzp2f3sLG3H2+jJ0tqpzF5CESJMyBlJRFSkZF59bmWiVGJqL0XyAwfg16zkfb68edqqnCzwud99x3/BsLEo+WsnHNr57KgbgFhfSt/en47ev0j3NP5FxLYRWkzQNzYf4rZP/Y+xwfv+SAAT1/8NH6Xn4HEACkzRbLnTIzwUdm0W0Ctw18dyNn0A80QqYyITgS/eu/KbLGmHBY0B2nQFpMAXuh7gdm1pWPGSmBWVxGNp20i6sk9nlPUM4uvYXkYTvfhlg24dA235iMpD+yoPWd0i8tq4piORTxgP/2y1tLRLWCPqJM6QphoqNfqWHPTByysaEB91mx846lvEDa7EXLRGHeqELpbpV/PPV45j+75Chx5MRz7YfRrzyNjJeGC38Ort8K8E3PutoWFIYOcfw00LlBk9pCzuWp4JnAbjYEWAqKdEWNTyVO/njB9NaoSBmNpNAH1dmpbudRcQE2B8uVtjPPnP3qCcPLn1c/uAL22rcoQucVk4QxVydwwOH4aWp3fzSbTrrD2bYYb3g73fhWLNB4pspu/ebXziJoDhGpGOP/nT7D6m/fz7bs3ln/Q9iOUQrVn2p5bTThENGGNvC4UUQcnzzsKgJf7X+b6Dddz5/bcDC1TGgVBQbWeWk6adRJzRgkqcuASvkIiqlVgzZUGSA2XXcFsDHp4eHMfO/pjuPOrmvm9GsFWSAwqywwoN8JgYT9VNvRnP/aIOnhlYPQ0xDHhqLXpmLIS3/l5NRJh/snw3r/CW38O5OxemqtG9aGDUkSB5N63YMQWZlMC/famZ0O/UlLaa3LKjTZKj1o+LEva8xPHJqJpMUBvpLTynbPm7l8iGnQ1kLAqIKLkW3NzGyQpJVKkme1dyWXHXFburlVDloja14xsYJgw2dKrrhHXPraTK+9TRYilbapvbu+I+rt/9ub1oKWRVnWSPadR2tudMVNZItoUyLk+PMUFClFIRJM9bye25asVKXqqRzj3vBkzQ09cKSLFFuC1s9cyZG3E23Ybt3X+gkRSp8FYR4v5ZjxyBglr/yXgv7An55q6e5vq9dxn9zdaRogjZtXhL0qtLegVD7VDZG/Vz+tNh7Zx/jGj9+IKITj38KORlps/vfxUZQ9qOD2i1fluOUXDYN58ZWcPaY4xPi9uDRB0KVLl1vyYcpIum0miO6qs1PXuNo6bk+t9XjVzcdnjNaHhFXZWCeq9c+ka0nKRtg6AImqkITVSoIhuGNhgn1uVZ7MvOBk+8iis+QgIYSvWSfWZX37B+C1WJ38BPvQQXPBresw0IGjyN9HkmUVGDBNJH9iiQzUxTUSrhIFYmsagJxsPXkxEs7aKfEW0HI6+FM76X1h8anaDljBzFbC+uFrInS/LWKj1u9mdDKiQoWeuzt5uiQz5y+UZ888AYPmSHdnbtveNEvDi9ivbwZ7Ro6mnMXE4YxaimSFVJawEWSLaOPZx+xGN/np0o5XdsQ18++lv84VHv5D9nWEZCCZOJEouoBWMbzEtE6SWtdLkDy536WWI6Nt/A595FermwK7Hcr/fURTecQDCioptdhOGo9b2rFd9r0//Eo79KLzrDzD/DdnNUcyusuPOW39sRTQzdDyJ3R/MEvmAvaHdNrQTgNm1uYukxviKaMpQA9kLiGQeEW0JtKChIdzDZdea1AFSROs9TRiMrwrlE9GkkSOiadMCLUWNu3G/qqGQCysq7hEVWKQMVRj42ytq4655u7m157/QvHuzfaKL5m/F0/A0lrl/7c7/OhAlPYRpK5VVdvLHb3mLQ2ycHlGfIqsPfm4tN334uMqetShle8vQzqzV1qMVPs+62eswpYkIPcss3xE89t5beeQDP+KB938PjwiRsononsgeLnvwsoKWn6nCKSYB3PDKHQDsGFIK54dPWMHtnzhx7P740AyI7IdUXyMNPS8WtmkU4UunH4aQPvpjFY5wyabmVmcNSNh96I46CODKWnPLE9GMmcEgTINHTTfwan4scWCJ6J6osjK3+ts5bv5spBHAMkIsbhl9j1KjKxKoi7xdqXQXzCHfbygq5ieNJJ0RlTws9Op9F8rBo/kwmcDfR9Oh4ygQgpg5iFfU4dJcdATmgRSV28gPQkwT0SphMJbKBhVlzAy3brkVt+Ym5FFVaWfzYAgK5hWVQHep+YC+uqxKFjOGsz110YxaGCtTRF2EUyYccWGB0mNpBl6Z+9N31HRwdOvRRD1Pc9Ulx3DErLrsxqYsZq1SybljRKtPY2Loi6RAZEiY8QkQ0UGlhrnHt3PtT9S7FjLE+pLbTZmZVFWxZIHW9HFHragwGT1LpDbsHaVq7BDR2llq0+DMA51zvOpLcnq044Nw39dV6h3sV2vuhC5G5eAoog99W4V7XHIrnPHtks9FLG2nb3vsHvXaWSVjaZyNod/eOHfbG4sFDbneNZWaO7YimjQyCCFzG+Pshl09vktz0exvRXMNs72/dLOXsjd2viqlUI6GZn8z6AmGE6MU3mwUWHPzwoqSaQuhpfHrB+I7qN47ZySOQ3xrfILOwTixlMGr/5+9M4+Tq6zS//e999be1Xsn6ewrCSSEJSxhB0EWWQQUxQ0X1BGXccNxRmcYHec3roPKqLiLAorCACMiIDsiCRgCISRA9r3T6a26u/a6976/P957a+laurq7upOGPJ9PPt2pulV1q/rW+57nPOc8p0Nd94GZt/Fiz2qMulezSa5O/88BaArWONP/RoUURWZFGZkjovkkq5iIOn8Dn4oP5rWGOGledQlFNb4l97rP782NbkjZhd+lo1uPptnfjMTmzQtXUO/PESW/Vo+JUlE+/+TneWTXI6OvyigByzFIlJaPPQNKHd0ZUT/nNFZhsFc/DopoJgm/uhB+cgb86TOqimTPmqLZ6JomENIgY1dZHpotza2RIuqsMXW+3LritnfZZZSvztgBEJKpQWWG6deDyAkgolLKbEJmX3QfSA+zG6cwuzmIZk7FZ7dXNP1p8qlqGyOPiI7osx8L4k7/sqOI7hjYka1ykPr49U8D+PTAqPZ+07JJE6FOV+vFMa0nM/jafzC7rrTqPBlwmIhWgW1dUc741mO8vLd85rwnms4S0U2RTbzU/RKfW/G5bFbULauIa8HCctwKODCYzJKTmeHCUpItfVuGraGv93voT2SQ53xJ1aUvOBcAW1h4hxCEt8x7C9v7tzGnvZ+ARyeZqUAyZ54I6aiyWz+MmuDAYAqvT11fIyrNPYhluS7mhhZnf5d2Tom0pIkuRp4h9ukBbPLKcrThFVHTVqW5bvD3qTfl+jsKSj9dIupWJRz3XqXSTVsGR70VNtwLN58G314AT383Z/I1jmZF9liJqEsmrRQ0zS3uL3EQdRRR3euMYmkt3wMTcgKqvrR6/wtbcv1uKrlQmYjGh84BdQP2vN7EGeF2dG8/20sqoor4jbci6pYcv9ZVWXmxsUCqaztfEY2lMwgtXaB+jRfc0lxNKyzRndcWYEd3jGt++RyxlMkXL1yCz+/M0DWi2REumlTn2G9WMbboMKpAcWmuJdMFszxd+IZex+7+6x35GB01Tzb3uhu7c0nmnmSh872u6dm5tkc1H1VwX1BvxBJRpJRs7NmonpsxOnjnwR0rJKQXS6r1e++guvbmNU0t+7gswu0QPTBsW8aI8OJtsPd59dzrfgdfnwk/Pxce/OeiQwVGwdimiqixWZHbhx408hVRl4iWVmk39aik4aywShoGjCAISznAjiO+8dw3WP4bNQt39+Ae7HQTc1pCCCG4fObnuXLW5yo+3iXOXi1nzCTwTAwRdRMdzme2JZJzkZb6+Ja6qkTByMuPe+NphDFAg0/FfrOb6kF66OifWGOqWuIwEa0CP/vrNnb3Jrh1VWlnKikl+yIJWhyjItf9ckHjguwx7iIS1aoPaA8MpvB61aIzK5xrmD+i6QhMabI5srncQwHVI2rZkrgIweU/grlqnqPULHxDfKrOn3s+hjC4f9v9+D06qUpEdMYK9fNweW7NsKcvQV3b39GFzonTSs/YLEK856CW5bo4dfpZmDF1rUs7txHbZLLGKiOBXw+AyOTUhirGt6iAIbecXXHcTH7/UeVg2hHJI3qu0YNLROunwzV/hDOuVyMDFrwJQm2qH+Mf8oaBj6Miao7V2TC/1N9fvtrCnc2p+Z1rpiWXQX38+rP51Qdy150bAA3aHSB1ptblEh7V9Ii6szazrreuIppHRNtD7Xh8/WzvLl+aGxhnRXR2vebI+WYAACAASURBVAqCNvdUNkWRWGiyeL5dX0KtzyFj/ImoS3oM4c4T1dCERp1fMJA0Wbc7wg/efTzvP61dmWAAAX8sW5qrmVUE/4cxAhQroqZMYVCsihUp+25izTvyBJdGoWvutsiO7O/SKlbmL51/KXWeOo6bclzB7XWeBhA2X1n1lextaStdM+JiORVTAk+W0HXGDiDNIDMaK1SFuQi3A1KR0VohskuRxY+vhuOvUfMfj7gQXrxdzXvMK7XW0DGHSYBmYaZUubVWm5A6aRa7hmdLczOlCdKmHlVSOr9ZiRZBQ11bsUzlao+x4rev/hZQjrm7+tUM0VnNaj38j4vP4l8vPK3i42eGVZJzKBE1J4KIuuOBHCK6LbIt2wKBHF96FDCCSJGufkSQg+7BNMIYpNWvSrBPmNvMje84hta6ydv7f5iIDoOeaIr/XbsXQxPcv76jpFL4r/e+zL7+JK3O6BZ3QHq+Rb5bmjsoqrfNPzCQojGsniufiJ4w9QSgcp/ok7ufZFvyMRAZ+t0B5875WMIqMk9o8jdx2ozTuHfLvQh9kKRZgYg2z4dA82EiWgLJjMUX73qJT9y+lp09agPo6E+w5UD5XpOdPTEefLkDEX6B8+acV6R+l8UhoohecfTRXNL2VfSB8xB6kmRGBR22NNFH0TcX0IMgZG6cieYZtgzckhbIQpV/dovaDPflZwqzimheIDTvDAhPVUHh++6Ga+6Fs/9ZGXO1OoYLo1AuqoVLRPPV5BHBE1CfEWRL/UrBJYciOE0FTdOWZe+b1xrinCU5Q6I6Z60Q3h5ajcUFLqsaOgzTI+qabWQVzawimlNc2kPt2HqErd3FgVXKCYa9xvgqogscpXdHf2VFVGKhOQQjlaeIRpLqex0cBaEYLdykJqg+UdPYR9gv+Ok1K3jL0e10JXKqmOGNZRVRtzfU7S09jLGieJ6nJdMYWnFAWHQdp5z9YFSKaKES25nYA8k5nB7+J3504b8XHX9S+0msevcqpoYKExH1HlWif++We1nephStgcwAZ//hbO7adNeIz2so3JFaGj5s1Pe5N9mDbYazsVJFOOSgpuW5sW6VaAw0wmX/A+d8Sf0DNe/xiW9kD9VElYpoz1Z4+saCJNtY4Sa78omoW5or7UzJ/tYdEbWGLWlTsaJbpdGXHD9lz+2nBOhJ9NER36cU0ebqE3MLmtRkB6+eNzMVD6acQEW0Tn03tka2olttJPZezZzkl8f1pYNGECHsbMtMtegciKEZUaY5o59mNAa48viZNAYnb+//YSI6DG5bvYu0afPPFy0hmjJ5bntv0TFuRv9Dp88DIOnMQMxfRNwyqkFGQEQHk9SH1HPNrMuRkyXNSwh7wrzaW7o01pY2n3zsk/x5/00Y9S8xkHSJqGOLLZzxDEPwtkVvoy/Vx/N8hl7vPeVPTAhVnrvn+arfyxsFmzoH+f2a3dy/voOLb3qa/3txL6d8/THOu/HJso/51oOvYegmaTnA4qbFZY8rQolBzAcDbWEf377qGM5aOBshbPZElOpoY2b72UYCdwPNGmfoxvBmRdLKZTIdTA2r79oVx+UN005FFQmrdo7ihx6Cq35dUWkcK6TmlE4yyo0k3wCtQv95lhwGW+BjT6ty/TIIenLB9MePva7gPl3oRSWJQxHPlCOihb3pEou9JWYSu0R0vHtEj5qigrbdw8wrlFjZHqZ8ItrvENHwOCrmQ6HltXak7TQv9T7Dhy/dzJuWqGDKndsY9oQRxmDWfd2SabwixH1X3Ddh5/r6RrFZkU2ioNfNTY75h5ZsuuWVo1FEh5TG95v7COvt3Hzl+1gybUr5Bw7BwroTSfeeym/fcgdfO/VrAPQkehhID3DbxttGrNQMhemM3NLwItW8APozveiyvrp5n66L6FgNi3Y8DZseUr9HDygimo/2Y+Bzr8Ki8+HZm8HpbdWqLc29W42ooYbjRtw1xpfXc+px1lITCt3fHeyL7kdaPha0qJigzmkn6YmPHxF9uTNXyrqpdztxcxA705RNAleDI1rVGuzXhyiiIyCiT+58lvfedx2ZahVsF4P71PXg7DNbIltIxVsxB44lQJWCwCgRcuKcnkSVhlgOdkQUeZ5R//qpcDlMRCsgmbG4dfUO3rRkCu85eQ5eQ+Px14rLROJpizMWtTKnRX3x3d7N/C+Wm4XuHwER7RpMEQyqIHVew7zs7XXeOpa0LOGVnldYtW9VkVvWzoFcCbHQY/THCxXRpCYKFjgX58w+h9vfcjsAGa04OCzAzBNUj2iJBfGNjGhKbVzfueoYlkwL8+k7Xqx4/PM7e7l/fQdXn6oIxNCsdRa7n4ObjoNVP1Kuf2YK+ndD87zSxx8EtAVVhn1XRDnR2ZgYo+gRdYmoqzZVM77FdsyK8qFpglf+40K+cunS3I3pqFIhKrk1FpxMMyy9vNpTHxMKAtiRwiWiFQhzwsmiBzx+mHJkRYfHtoBSalq8U7hq2dkF96lAeBhFNOOugW5pbjERnRZSgaal9ZGxCksc06ZLRMe7R7QVbIMD8cqqi8TEcKpZUnkBZ39KJUvCE6iIekoYgD23/7ns764iuqRlCaYYoHMwiWVLbNJM8S6uvuLiMIaBwM4jhPdsvgdL78On5QXhUl2/Ac9QIurOJx65IqrluebGM3FMEWFKYEblB5VAa6iJVOdlzAwuzCbN3REQW/u3sq6r2IBuJLCc77yOL0tE41YfAa2xuieod/rSx6KIbnlEzYj+7Ttg71qIdRUTUVDGSEuvVPFMlzu+w8j2tlZE/97Rn18ZpEooom5prikE9Bc7pPYkesAKZ71K3DWpLzF+RHRrd87k6YXO9QDoVks2CVwNFjSp9WhhnrOuTpWfvYNbXniIdb1P89i2EYojg/uzCY+UlWLP4B7MpIrBspWE44QGn9qzd0RKu91mLLtkMmi3832Yl2cgONlxmIhWwJ/Xd9AdTfPh0+cR8OqcMr+FJ1/rKjoukbYIenPBgauI5pM9VxHts6vP8HdH09ke0aWtuWA65AlxZPORvNT9Eh99+KN8/snPZ+97rfc1PvXYp7L/F3qSgaST1XOJqBAFJDkfy9uW06QvwmaYbNTMEwCpFvfDyCKeUgH6EVPruOOjK/nHc1UfXv44kXx868HXmBL2cc5R6rqYFizjJrjn78r5+KF/gZtPURustKFtBArqOGNqnQow9vSrqgGJWVBGWC3qHLfXXjdTqFWjiJpZM5d8BLx6dqQSoBTRCuWrBxN6LYhohfeWyPZdDv86jd4Qt+zr5IGLbim6TxcaUgzjmusqosZQIlpYmgugeSJFLQ9uZrsogK8xhBDospneVPG6ng+JhVdT12UqLyniKqL1vvEr3c6dgwpK9BLfKT1PJe12nCAXNy0mI2NEEnF6Y2nQMgXtIocxNghZqIjev+0vSNvLEb4r8o5R12+RWVGWiI6tR3SLM15pdnjOiJ8n7OxJg6ncdRHNM8K5Z0uFqqgq4PaIGsKHJIOUkrTsp86o0tcg2KrW/oEqFNG+naXHsfz9F7nf//Z9VUVUV0Y1nq08Bdi1ClDu1PZwimg6nhsBUkOkbXeOcn5prrqGLARse6zoMYOZfgzqsoZ97pqUTeiOAzJ5LTMbHcfltmB74Z47DBp8DVww9wIuO+Ks7G268GCNQBHtc7wf7n7l8aofA6hrK+y2Z+zAxsZOqeujLz6+RPTN885ASp1b199bdJ+UkuU//BBX3v7Novv2Oz3Ts+vLxIqTEIeJaAVsPhDFowtOWaBKHc5e3Ma27li2989FLG0S8uaCg5I9os5H3WP5yVg2L+6O8NtndxFPm3QOJEv2nsbTJpY2SNgbLiC1dZ46Tp9xenY0zMaejewa2MWvN/yad93/rqwiGjRCCC2R1yPqmG0IUTEg8Wi+4Ylo+7HqZ+fLlY97gyGWVhtX0Gtg6Bqfe/MRvHfl7LL25Rv3DfCWo9vpS6tAuKwiGu9VatK7fq+yof/3CXV725Kav4fRYnq9CjAeenU7ti0dFWnkRKLOUQmymVzdGHZ8iy2tkkS0CKmBce33HAuEHIP6536fK5Tmxh3TirpqykiFxopUikAJ1VTTDKB0ttZFIrsGuutWabMiAM2IkMwMUUQttzRt/PteglozMXO4YNLKmmms3dXFnWt2838v7mVPvwqA6n0ToYgWmhXlw1WyHt31KN/8uwpeXLM8oUfZ1hVFiMNEtKYQosC065XODqz4bJa35xRn4ZTbW/aQwHwMpbnKNVe97osdyrBwSev8ET+Pq5z94LEtWKa6ptzxcE2+Jh7Y/sCYjG4sxzXXo3mRwiKaiSJFhkZflURU09RIraGKqG2p/RDU2JU/fQ6+vxye+lbhcZkEbP4LnPJJOP2zyoxosCM7qqMITXPVSKstiuRpwoPFMET0xduHTZKOBhlXEc2bC+vRHcPLhvmw+ZGixyTsQXxaLhHZ4Ff7XP94EtG8fXnrgGoVm1M/MnVeCMF3zvoOp83ImRrpwlu9YzEQzShldl3Pc8McmYd0DCI7lRqO6g8FsNMqBovEx7dH9cwFc/FnlrKm+7GivfS5XbvR69fy6sCqosd1xYeJFSchDhPRCuiJpmgJ+bIZpnMWq0zJE0NU0UTaIpCniJYsq3CyGDtoY9GXH+DyH/6NL92zni/c9RJnfutxvvLHwvldti1JZCxMBrLjPFziGfKEOGX6KTzzrmd4+O0P49W8XP2nq/nOGvVl/sYZ3+Brp32NRl8jQk8wMMSsKCk0/BXGDXg1H/Zwbl6BJvV8tZ7zNUHoHEjy8MZOfvj4lsqjakaImKOI5iugPkMnXWIuq5SSWNok7DfojKtSaNfKvAiJXvWZL74QjrwUEn3q9pbyIzgmGrMa1HW6esde/uexLSBMjFGYFYV9JUpzq1JEq+g7Sh+6iuiY4CqN+Q66Q9CfVmX0zf4qSuNc1a2ESZQuNBA2doXlwS3N9VXoEa3z1uHX6hBDFNGUafHoq2pdGW9FFKDB00aK4t7/fEiRU0T7Q3fwb6u+wBf/+gXufOXPADQGJi65YejFiuiewT08uutRvvGcMls5cdqJTAmq/UoYg2ztioGWIXCYiNYOQxTRhDVIs7+RD5+RI4XNAUU0Q/4hX5ajr1I/pxw54pfVhYZwFNENXWp0y3HTRr4PnL24jQ+eNpffr9nNud95BoCehFojrlh0BQkzwYPbHxzx87pwzYo8mg8wswF0W7BEaWw5hKfBut/CK3/K3fbsj+Fb8+Dhf4cfngzP/wr8jbBtiA9Dx0tgmzDnVDj5OuWWK63Spbmg1tAjL1HVRqlBDGEgK7UgpKLw5Ddhzunw8WfhA3+u/n0NA3d0SaEiqva3gYb52fLhwscMEjJy63+WiKbGrzTX7QMG6E11gu1jflP1fcrlYAhv1uCqGsQtdd1G2Ub35sfgfz9SOXm9/2W4490qkbH8nYA7ukWjyaOIdMYaW4/0cBBCsHLq6VhaP2s7Cv1ebn3xYYSQaN7iBGlfuhukRpOvaVzPbyJxmIhWQHc0TUueu9vc1hBzW4I8MaRPNJY2C0pzXSKaX/6q96kNY4dUX9IfvPs4TpjTxP0vdZAybR54eX9Bn1TStJAS0nKAloAK8C9fqHrVXEIKqs/qX1f+K5qmccMpN3DTOTdx8fyLuXzh5TT46hFaslgR1QTBCqqQV/OByFT+IgqhnMZqaa0+gfiXu9fzkd+s4dsPvcazJQyoRou4q4j6cteD19BIlXAhTmQsbAkhn8H+2H6afE3lFYtEnyKiAKd9BkJTYPap2b/poYCmgNoET5zv53uPbkJi5eZIjgANTknRQMrJxuseFVBUgC3t6ohoKgoTUEY5GgxbBlYJLsGrQLIH0wNIqdHor4KIu6WeshQRVWYppl2+PDfpKJpZIlmCiAI0etvQPH0F348H1u8nkkg4jx/fHlGA1sBUpN5PPF0pA247AbXC7Gn9tLXuw9uknMOnhMbPzGoo8hXRoDM2Jmkl+czjnyFtpbn1olv55QW/zO4bmjHIVkcRDXmKx3scxmhR6F6bkTGaAoVJnh9f8N+cN/s8jmsf0kKx4v1wQ1/OkGckr+p8h2zbZnv/DuxMmCVTR0DuHBi6xr9fupQ7/+EUoimJlILumFL4T5h6AgsaFnD35rtH/Lwu3B5Rr+ZHCpOdjslKezkiWApn/ZP6+UqewdbGP6qff/ue2hOvfQRWfAA61ikV1MVep19w+vHKFf3Yd6v/hyoQpSMvU/OYN/9l+NLc1T9SPafnfQWmLMmOx6sFMnYGIfUCt3LX+C1lBBWBGrL+WiJK2JMjoq3OteiWrY4Hhu4BVrqR2S1jrw4xhAc5hIiatllWHEnZUaSlXGhf+NPHYP0f2L3j8Zzzvove7cod+cenwd4X4OLvqEQFsK1/G5rZysp5YyfS1eKtS84G4M6Nj2Zv2zWwixe6VwOgefrpixdWJQxmevHQUNCOMdkxbAOXEOKXwCXAASnlshL3vwf4ovPfKHCdlHJsXe6HCHqiKVqGzOY5e/EU7vj7LpIZC79Hx7YlyYxNMK80N2klEQg8T39PWXtf+ROMnu0A7KWFsM/gkuXTqfd7+MYDr3LZsdP5xgOvcsF3n2JKvY/2hgAfPsNx4LUjNPvVIOrPr/g8Vx1xVTbT7eKKRVdw+cLLs8qti3pfPYanM881148FZIQgWCFg9el+hJYhaVplS0oBh4hOTkV0T188+3sptXK0cM2K8ku1vbpGxpLYtizonXCPDXo1Vu1bxRHNR5R/4nivGpkDauzG9Ztqds61QqOvEYGgvnUDS6YtZbcwc66pI0C9X21kA6l8s6JhiCjFrrklkY7mTDAOEVx1xFXcuenOytn3alGhNDeSiiCtAA3V2Ly7ZKdEAkAXBkLYWBUk0aRrVuQmSkrMEQVo9k1lr2dHQWluwKuDUJ9FwDP+iZYWfzNiUNIx2MeCljIVCXmKKMDtF/+GoCfIdY98nHUHXmRaePyz09k5onk9oqvfvZqeZA+3vHwLK6evZGX7yuz9bQEV8AuHiKJlCHkOK6K1gkDDdk2D0hmkFi+qNljcvJjvnvPd0k8wypmTmrPPZ2yLzsQeNLONxuDoEzYnzG3m1mtP5rqnDaKmUs+8upcrF13Jt9d8m019mziiqcLeVAaWs3Z4dT/CkmzpU6Y+MxtGUFJ4xAXKzbbzZZWMfeCfYfdqWHIJnHk9TD1atW5EOxUxvf/zqkqoexNsf0r1/zmll5z+GdizBmYcX/71Zq9URHXjHzE0f9ZkqQCD++EX56uyziWXwKwq536PABk7jTbE6M+thEjpAUBCqj+bnB5MqYqHprzrb0qoCTsTZld0C+MFd86qtA2EZiIzzVnTzrHA0LzYeb34UkqOu/U4rl58NV9eWTxWJcMgU4xjOGCt4c5Ail8Fp7L+6c9xzub3ctOFX8wdeNeH1LVx1hdh5cfVGB8Hm/u2koq3sWRumGNnNXLMrCpNtcaANy1cAn9tZN0BVRG5Z6CLi++5WDEz2wdairUdWzl3wfLsY5Kyj7D++lFDoTpF9Bbgwgr3bwfOklIuB74G/LQG53VIoDuaLpp3ddbiNpIZm7U7VWlkwikpK1BEzRR+w4/Y+Qy8dAf0bkd3TAVMoZRVgDOPaOPPnz6DD502j4+cMY9FU+tIZGzueWEvf9mgSjXjVn+2NFfX9AL33HwMJaEA9d56ND1ZMEc05RwX8pdXhXy6UkRTmWEIWnjyKqJ98QzHOgvNUMfOsSCetvB7NPQ8wunzqK9ZesjruGW8BzIvsye6hysWXkFZJPqUg6sLIap3fp0ghL1hrj/helZ1/I2VK9YgNIvW0MjHWriK3WC6wviWXc+qfw7saktzD0GzohtOuYEm+xTssRBR91qoQDQG0v1IK0hjoAoi6mZbS6ieuqZ61CoSUdc53ChfmgvQ6p+K5olk11FwEkMOEfWPIpExUjQ419uBaGnlQEoJwipQRFsDrYQ8IX765p9wxyV3UO+dQEU0LxMuhKA10Mr1J17P6TNOLyCpTf4mlRD1RnmlI4IQdrbs/TBqA+lc11t7ehBCMqWuyv7HMcBVySzbZsDsoE5vL7n/jwQ+Q0fanmwfuVf3cumCSzE0g3s2j860yFVE3cqwbX3KHXRe4wjdPqcuha7X4JZLVDwFMOc0mH6c2hsAFr0Zjn8/rL8THv2qKtNtWQjn/lvueZrmwnVPQ+ui8q+l6ao8d/PDeIWGFJZy0s0fMfX3nysSCnDuDSN7L1XClBk0Ctc+r/PdTupOQsxtzwF2RFTZc2swR1ACXh07OYM98fEjou7f2ErMBkBKg9kjmCFaDobmRYrcnp8wldJ9x2t3wHM/gwe+mI09pZRIEaPR20KLWMiqgI9tXg+GLdgZyYtPO16CfWvV3+ycLxWQ0LSVZk90N3Z6KounhfnImfM5ad74f5d1TWAQImGqWGdHb3f2vkWhMwFYv39r9jbblpgiQr3n4I/tqyWGVUSllE8JIeZWuP+ZvP+uhnEevjNBkFLSHU3ROkQRnedkezr6leSfNafJ6wlMWSlV2+/Ob1p3B0b/XqgDIeys2unCa2h8+WKlevbG0hz/tYedIeQmSTuaLbEaKcLeMOgJBhI519xEloiW7yXzG44iOlzvZN002P7XUZ3bwYSUkr5YmhWz1aJdSyIaTRUaV4FSRAFSpo3fkwsiY44i+mLkIRp8DZw357zyT5zoUxvyIY5rll7Dtv5t3L3ldhA2R0wdeeauxem3i7rOkqXGt/zyfPXzK6o3xJZ2UQa5JFKDh6RZkYY+NkW0imHqscwgmh2sXOWQPaFhSnOHUURT7vgVV9GUpb9jDb5GhJ4kkc4pD8mMhXBceT0TQEQbHRW5K1Z6FFXatBHCLiB5buDvN/wc2TLyPr9RQUoQOdOS4eDRPDT5m4gFE3R2DxIGptUfWkmYyY3cGJUt3YqoTA9PABF19IO+VB+mGKTNP/LRLUPhNTSQHuKmqkLxal6a/E2cO/tc7tt2H59d8dmCfsVqYDtJLNdocffAHqStM7dphPHMlKUqEdm7HS6+EV76Ayy5uPAY3QOX3QQXfVNVcYwl2XjUW2HNL5mW2scBBuG/j4RMTLXCzD0dnv0JHHEhXPGTAjJTS1gyg0cMjSPU/3uFKlr15BHRnX2ugU3us20MerFTM+hOPU48E8+ORasl3B7RVOcliOl3YfYfy6zmsZf/ezUviNyecCDmtE/ZOjz4L+p6eOF2OPN6Bo69BjSTRl8DJ8V6ud2AZSmLLR6RNX0CYJvjqLvs7QDEMjEyVoZGfyM7BnZgSws7NYUl0yYuqQjKLT9jKz6RbUcCPnvStXz8yYfZ7IhYAH3xNOiDNPleX0S01j2i1wIPlLtTCPFRIcQaIcSarq7KdvkHG7G0Rcq0aQkVLr7NjkLaG1MZ/0TaUUQ9hT2iPt2ngl6Adb9DH1QD079/9XLeemz5jSPsV4vN/oEkwlAX5aiJqCeMFPlmRT6SjlLn91UiogEQGZKZYXrW6qZCMlLaNv0QxkDCRISf41Xt6wRm/5TuRO1U3XjKJDRkVIvP0ACJved52PKoMkNIRIimTIQe5eXI37h0/qUlZ7sC6vONdeVKcw9xXH/C9dny8VH1iPqDSCmIZRxFVDOG7RGVWIjh8mpSQnrwkOwR1bVhjDGGw7K3qZ8VzKvi1gAeUWWAVqk0VzNASMxKRNTtEc2ObyldmuuW3kbTuYDhQGI/vinKJGU0189I0RxQgUdPvDQRdd/LRJxLZZQf31IOLYEWZrWaCEddqBuHYPSNCoGG7VzXOxwiMLtx5L2aI4WriK7tVDOqFzaMfYSXV9dAGiQsFXO4CaArF11Jf6qfx3YVjwsZDqbTXxkwFDE5kOhEWmGmNoyQqCx4kzLou+b/4MRr4dqHoKnMuBpPYOwVL3NOB2D+4DoMkVavfc6X1ZiWp76l2h8u+ua4kVBQRFQf4jjvtrn8uv9B3jN9WlYRTZpJ/uXZDwEwPZxzBK7zGcwOLUJiZx1haw3XkKre00x8+z/SyPEFbWqjhcchoraTwNzdr5RCr0QlNT/wZ5UUeOTf6b/1EgBO7nmcqzteAOB9My4kJE1sK6+/Mt4Dug+CzUgp+cSjn+Bjj3wMyDnmeu12ZjZNbB+9gY+MVPvfgDOX+hNLvsnpc45CWgH2RHdnj+0YiKIZsaL2vMmOmhFRIcQ5KCL6xXLHSCl/KqU8QUp5Qlvb+C/YY0H3oLowhiqiYZ+BRxf0OETULa8cOkfUr/sVEfU1QGQnuhPMuG535eDRNYJenf39SYShiKxbmjtShL1hpEjTn3Qa+A0/STE8EQ0YfoSQBcFh6Rdwej1ik6s8tyeWwtP0HH3mVozQNvbGt9XsuWNDZsqCKnv6uvFzmm6/AG67Em57G9x8KpnIXoyGtVjS5O1HvL38k/73YjCTEJwcfQF13jq+espXAeXwPFKEfB6wvcQzeaW5QxXRIbAx0UqV5sa64bfvVH09mYTaxA5JRVQrGAUxYhx/DXx5PzTOLntI2o7i06p879nS3DKuudjYFYho2vl7BYcxKwo6pcTRVM5kZH98Z+61JsCQoSWo1sLe5EDJ++MZ9V4MzeCH5/6QP19RO3fMkSA7R7QK9dtFq7+VQCDON69SY558h5C52eRHbnzLtl5FROc1TQARdXpLH9uxCik1TppeoeexSvg8GtL2YElnfqUzNmRl+0qmh6ZzwzM38Hzn8yN6TpdEBByDrP70AYRVX3amdlmEWuCdt41LL2ZJ6Aa86d+I+6YzIHzYl/9YmSZ94ln4/Cb41POqzHccYckMxpAKn/xKiFd8Xuy4IqL9qVwCbdnUwvM6dY763m/sHh8i6s6KnduiyP/sGqihAAFDxQ3uWKq9A8o91i8lNM9XxlDvvgNO+SSxPuWXsbB3HXOPfhfrr3mJs456Kz4p8Zi92fP8de864sFmEILVHat5vvN5Xul9hXgmroioFCxsmj+iGai1gKH5sBwiGk3lr60t2wAAIABJREFURqwJIfDKNrqTuTm623qVoDW97vUzugVqRESFEMuBnwNvlVLWfrrvQcC+fhUYtYULN24hBM0hL70xdeEkMoWluWv2r+GhHQ+pMpbUICx9K3jrMJyYzazCGTPsN+gcSCJ0VSYzWkW03ik5i6ScAMvw5YhohWDcDQ4HU/Gyx6gDnexbrLvycYcYemNphDFAm38WoBzqaoVYyizaaB858FP+3r6B2PyL4EMPweU/hoG9BPatxtOwliWNR2dn/hUh3qtUZxjWsOdQwqkzTuW3b/lt5b7XMgh6daTtJWG5iugQ19z8vkVHjZfSRisxX5HVN8OmB2HNr3Kz+w6xHlFwVa4xmhUN44iaIUpAr/K9u6pbidJcQzMQQpK2yp9v2inNHc41N+i4RMfSOSKadB77vbP/p7pzHSPagq67ZGki6hoveTSDM2eeyaz6WRNyXuVQ8jovg9ZAKz2JHlbMVX/3w3NEaweR55rrlka6zuHjCbc0d+2BNdjJGaycO8KeyxJQiqgn7//qe6sJjQ8u+yAJM8HNL948oud0SYo7Mighu/GK8f98aoIzr2fXlPORws55Owihku/jbPilZnBnMLRCRdQYYm7VF1UEJeUk/dqtt3NM+9yCY86avwQpBS/uV32ipm1myV0t4CqiZy1WxGjoPOjRImyomNcd+dMZVbSiTlrQllcBsPQKYs7nMjj3Srjku+rvNON4vFJSZ3aAbfHUnqf4TnIbNzYEkVJy87qb0YSOLW3u334/d266EzJTOGraxFedeTU/FopPDDquz65hY4PRTszuRErJH9bsZl3HLgBmN47cbftQxpiJqBBiNnA38D4p5aFn5TlKvLRHZZmWTi+uF28O+bKlufF0oSL6wYc+iC1t/LpPBb510+Cot6I7G5ZVQmEYinq/h754BmE4RHQMiihA1F14DD9JJxCsFJAEnVKageGIqBvQp8dvYPJ4oDuq1OapAbWBu0FzLRBLWwX9wgCruu/l4To/icaFypVv9skAZNJpNE+EJc1HlX/Czrz5skP7Yg5xHN129Kj6UnyGBtKXNShQ41syufLOVB5hiKskiI1VOkB37kf35ErlD0UiKgxljIFKjNy09ia6E7VL8KSsFFKkqfNU2f8iKimi6r5MBSKasqtTRENeleiLmbnqi5Tz+8zw2APsajC1TgXHA2Xm7bnqrjGCktjxxEjy9a3BVroT3dkxBvkjxQ5jrBDgKKL7HOOU0e7VI4Fbmtub2YU3s5A5LWMvt1aKaO76zi9Dv3rJ1bx5zpuzs66rhSVtpBQEnfJ7KTKEJpHbp0f3IIRV0znj1SBl2iVncE8JtGHG5mP2rgSgO6YmFvRE1T553IziapiFrU3ITCPb+3cAcOPzN3Lq704tUFHHAstJVJ7rENFaXIsALX4lcuzsV+/xgKP+1tkZaFuSO3D68fSF5wKQXHy12ucB/A1ERSsBuw823EN/Uq1/m3XBqo5VvHDgBUKJCwC4ae1N9CZ7ie19B4unTXxs4NX82A4RjTkGjQ2OqdyUwAxMrZftPf3865Pf5NZ1fwFgQdOh5fw/VgxLRIUQvwNWAYuFEHuEENcKIT4mhPiYc8gNQAvwIyHEi0KINeN4vhOGF3dFmN0cLBrfAtAS8lYszQXwaR5AqqD3rH9CP+XTQHWKaH1AfZk0Y4yKqOPkmLBiypAnv0e0EhF1Mn43PrIhOxezJNxeu9TkIqJ7BroQwmamM8YjM0z/4UgQTWUwPZt4YvcTpKxUjkwBGXf8g5NtzmRSIEzqvBWUrM6X1c/Pb4L25eWPex1BCIGQPlKW89m5G7JLivJMGoipjKnEKl2a2+uUXUc7c0T0ECzN1UVOEX2+83l+tv5nPL336Zo9vxt41HurVCTc7HsJIuq6tqbScdXzXOL7n7HKKaKFNCrkXPvxdK7PPOk8tmzPdI0xJaw+k3JKgavQToRxUq3R6m8lbafpSqjvyWFFtJYQSKkM6qJyF0G9mYYKLS+1Qv5syUUNy8fsmAvg0/WSiqiLqcGp2WuoWtjSAkRuhBPQ4J0cPgeQ+wzimUrzhWuPZMYCzcyWR2fPx/CS2PVRUgPHAbDfaYlKmOr8fCXWp/ZGPzLTyv646jNc27kWgFs23FKTc3UV0ZlNddzx0ZV848raxCjzmlUScnOPGvnT6+z5filhSp45nKax7pgvABQ5gvfos4hpBmx6iNU7VbvHPtvm5hdvpsHTxr4dp2KbdURSEfx6CDs546AQUZ8eQAr1N4w6lUH1znuZUz8LIWzu2/QUvtYn8bWpeaPzmiYmSTtRqMY1913D3P9h4MM1O6NDBC/ujpS1b24OedntzKHMluYOadBOuwTCF4amuRinfhL+cFdViqhrWCT0QQJGMNvsP1K4iqjQEwwmTZpDXqKOE1ulzLhLjHb0Rvjh41v4wgVLSh/oziwsoyQcqtgbVZndBU2zYGdO8agFotZeDtjf5FOPQYOvgZXtK7P3ZTTnM3eIVTqVRGgmIW+F4LBzgyqBrnt9NacPB036SDtOclmLfjujfi8goko1lNhZpS6Ll/6gZskB9O9RbodCg9aRz8Qbb+jCAGEjpcz2YtWyZLzP+cya/FUabFQqzXXi3vbbz4RYJ7z5a3DaPxYck84S0SGuuUWKqLr243mGZ64iOlHEL+jxIW0P0UwUKSU9yR5aAznTj5SZK809uFAVAWIEmqj7PvYMqtEZhxXR2kE4PaJbDkTRfPuYUzcx64qeV6J5Ro36Jr2GhpSlFVGAtmAbsUyMWCZWdd+/JS2QWgFBava3VnjEoQWf8xnEMylg4pKX0ZSJEKYy7MlDW9jHijlNtDZ6eCYN+5wkbMZy57UWr08eXSMgphHJrEFKyazwLDb0bGDN/troRa4i6jMMVs6v3We0pFUZeu458Bq89iDe7mdAOCvg9OMKjo05e8dQIqprXvq1IGx5hPjy+QDsN0z2d72Iv/8q5rc0sD/TAEaUTFpd0xPtmAvKzEuKNFLKrHDR5EwOWNwyjwc6YfW+wr9Xk3/yVBZUg1q75r4ukMxYHD+nkTOPKG080Bzy0hutrIhGXDXHKQN0y7qsEoHdUNT71QIojCitYyj1cRVRoeVmiUadxbVSZrzO63yhRYafPbWd7d2x0ge6ylINew4mAr1OZndOg1rsaqWISimJmirgv3bZtZw07SQe3flo9v60cD5zZ2N2F51AJZWibwe0LDjkZoaON3ThzxFRNyhyEwZDiWhygAa7hynmENOsNb9SP1sXw7YnYN1v4Yzroe0QJKLO+mDaZjZISFu1y8R3RNVn1lyt02MF19yGqOpTiTfOV2Zs3cUdGe6g81xAW9o11y3bS2RypbkuiR2qCIwnhAwQM6N87tH/4Nw/XEAsHafPqXrJKqIHmYjmrKFGTkSf7VAzdydKZX5jQEMi2dDRheY7wPK2Ci0WNYRwvkPS8nHa/PLmZCOB19DAzhHG7sHCOMV16RxJea4yK9II5CmiU0OTh4h6nRnI8eFMG2uMv27uBmHSEiok/D5D53+vO5X3nLAMgC6nRzRpqjXaKDPWqdU3A4sEPckeNh1QvZbb+x1DuGgX3PEe2P33UZ2rK6x4a5w0XNDags/SCG3+JfzunYSiStiJa7oyK8pD3FERG/yFRNQQXgaEFxK9xPpzs1TDRhtdHcfwtcuX4UXth6mUemxzaOL2HBd+PYAQNkkzRdzpEW0MqL/9ce1q5u22QdWitaJtJadOP7WgKuL1gNfXu6kR/B6dH71nBW9fUXokakvIy2DKJGVapJJJ2ugj6NULAseI6/boqIauWmNWQXpcRVT3xEZdlguFimiWiDK8Ihp0FFHdvw+vofHV+zaooe5D4fbaTTJFtD+tFuMZdbUlonsjCVK2KlO8aN5F3Hj2jTx81cMsDi0iZNuktEIimnIWnYrlcpFd0HBwzVEOBjzChyldIuoqos7fKZ+IPv1d+OWFIGymZ/YVPkl6EBa/Rdm8Z+IwY4VyPzwEYTjrQ9yM81LXS0CuvLUW6BhU1/yUYJWlcRVcc322Wuf2nvRlZRyRN+fMRVFfZZnxLe46lDDzFNGDMC5FlwH2p9fzyN67sElz1/pnOe22i/nyn//Itm7Vk1zrYGvkUJ+hNoKklEtEn9jzBIZm0BY8tN3qJxOEUCZpz+/biBCSk2dMTOuE65psZ5pYNqM2Co6uCQTq+pZScN1tL5Iyc9/9qUHVA+iax1QD21FEs7OEgZnhyWOy4jtIpbkPvNyBx7BpCZbut5zf2ojP0unN9EImkY07vWXWy5l1Kn7YNbCLbme2fX+6j8H+XfCbt8Krf4KtVY7nee5n8OLvsv+1pImUoshIaaxorfPSZlk8G2zgK6e+h7/UqXUsKrxFSfm4k9Bv9BcSd4/mJSEMQJCJb2FhOs0795xMbMfHOWPhNE5b2EpAV/uhNOv4n3cVKq0TBddVOpKMkbASSCkIO5VCS6fOQNpeYmIzAP/v9P/iJ2/+yUE5z/HEYSI6CrizRCN9Ed71twtY5fsUQTtKJBXJHjOoOx+tQ9bcMQRVKaJ5PaLN/tH3VOQT0YFEBtuWRJ2AtxL5mVGvNjd/+72cfeImnniti6e3lDBO8QRUYDnJekSjpvo7uZurWaOAf8O+AYTuZOecXqHWQCvLQvNJC0FKOBuys2Fs2Kc+07IqhW3BwF5ofCMS0QCmTCKl5IbOx1nj9xUT0TmnKQdDXxgTsLQhn2NqUKn205Yp5e7Kn+XMDA4xGE7J/LqudaQdolfL0txOZyD41FCVJT2uIlpivQrpihB1piQ0z1OD5ocgY5sgRa5cukxprtuHlcgzK3Lf/9A+tfGEIQJkRE/WsOWOV+5B9+/nj11f5ptrvwxAvf/QUBNHUhuRn8i86ZybCkqOD2Os0JDAq32vArC09cjKh9fqVZ3vkEc24zNqN95Id4goUmfDvgG+9eBr2fvaAiqBcSBe/ag2pYiKAkV0TuPkGTvhlhTHMxOniPbF0jyztYeAV5Zd/9obAgQTbdxTF+Rnq75OKluxUfpaWNg0D4BNvdtA5Ej1rt+/C3q2qNma0SqV7j9fD/d+LPtfy1Z/41r0KedDCMHcTJqtHpt79z1PPD4b3fTRXWL8mNvW4aqILjyaDwsTZp5AxuyixbLpjzfRPxjgny9S7Wb1jjtvyFPHpcccHAOgkNN615eIKlM524vu8AefR0e3WhFCIqVOe934m6EdDBwmoqNAiyPfx3f+nWCmD0PY6Ac20JfsKz7YLc0VudK74eCW5qLHxlQL7tf96nWd0twDgykek0vVfRXNinI9qU/1/Awj/DLrdkeKDxRCvb9JpogmrThIPfsZ1EoR3bhvAM0hom5ZNIBfQEYIEtLZWJwNTmrqdcsS0cH9iny9ERVRzY9Fkt5kL/dENvLB9qmqNFdK2P0sIOB998I/PAXXPkRGaPiGGoGlospQa8UH4frXVInzIQq3rGp1x+rsbS4hqwW6HdfB6fVVbmRZFbrYjr/emUW1c8CCpnkqWWIWBmuqNFfLBShlzIrcaz+Z93i352kiFVGPCCGlxvLANQDsSatS1oWhlSydMoeTp5zFO44+Y8LOpzRcVbn6oC9/HcrvVz+MscPtEd2f3IpBiPbQxBiImE7LQoOntr4BGo4CJ3VmNAb4xdPbefxVRTxHVZqLjUDLlt8DLGiZRIqo4STJJpCIPvxKJ5YtMQyrLBHVNUFz/FouiMW5afs9/HjjfwHlKzaOmjIXKTU2dG0lI1PYKZWM2jWwE955q0omjnIWvIVSvWuOZD/f6D7AxTuOZ+bgt7l61n8Qsk9Wrzf00CEqoguP5kWKDCx8M32apMWyaJ8xl+vPP4Kl05VQ0OhT8bXfOHhUKOi0wvUloqSsJILCv3tIU8kbzQ5nZwi/3vD6fFfjjOaQWlhTfR25G/evzzpThoTBNw44CuJQRbQKs6KZTYoIalq6amOAUhBCUOcJK0U0mWF3X5z1qJ6SSr1C+WW7y9uWE5hxB6/1vVb6YG940o1vSVlJhPRlywarSQ6Uwn1b7+Ps35+dLaFcv7efxrCJoRkFBlM+J4CMOgOq07bAQjCvVf2/7N+iXznd0VibPqDJBJ+uLM33RfPKbe0M7Hga1t8JKz8ORm7BNhH4h/4dU4Pq+yfEsDM2DzbcRNWzHc+yqGkRhmbUtEe0NxFB2gZT6qos5cu65hZ/N4LOmJmdg7YKYpBF5bmmbUKe+UmWiFKGiFp5RNQh4BM5LuVt8z/Aec1f4LOnXapu0OO0ihO45+0/484rfsHPL/pBNhg/WHCbI0ZiVpSvVExG199DGQKBadkkxW6m+hbUXBUqh+6kGmkxrcbE18CJNYTFp89bxJJpYT5/5zoODCQJeoKEPeERleZatgloWedsaQaZ0TDxZjCjRY6ITlxp7gPrO5jZFMAmUzFGO//EE/hkp8bZ1NOZUM6ybk/rUMxtDmOnW9jatwNLpmhOq/hu51GXwhEXKCPEaBVENJMouknFsyVoxIFXIF3GW6Qa9O+lwZZ89a2X8KdPnckNlx7FtPqwIpZDkDSTID1FJM2r+5DCJLPgHLp0nSmmxec++mE++aZF2WPCTpWL9yAujXXOiLuBVIy0lUTIQiI6M+j0nmvDjFOcxDhMREcBt6E548w4ymDA/vX0pZTq8JvwcVwccy4ah4hqQlMbVxXjWy4+up1n/vkcpEiP2jHXRb2vHqGpHtE9fXGElsGreSs2O7uzH8+bfR43vekmECZbos+VPtgXLpzrOAmQtpNojJ2IfunpL9GT7KE32Ytp2Ty3vZfWeot6b31BUOIXKoT87yd2s3pbD690DJCRBlMbnH7doeq0lMo8YLUzQPwNqIj69SAIix0DO7K32WYa9q3FBDpPfH/29l+s/wUZDbwyb5OyMmClVKJkEsC9Fjf1bWLFlBV4NW9NiWgkFUFaAZqqNWPIL80d0h+uO4mXXZEEtDqbeldhosq0M4j8cTrDlOamC4hoBiGNCQvsAa4/60K+d9l7md+SKx1c1DgxpZbVYmq9CppmNI1sT7jpnJu47S23jccpvcEhiKWTaL4OFjUunrBX7U2oAH9B45yaPq8Hp5VHM6n3G/zg3ccRT5t89g8vsr8/SbO/dWSluUiQWtY5W1p1NAYmTzLE7xDRuDkximh/IsPTW7q5aNk00la6olnbNafMZaO2iJaB3uxt3jKJu9nNQWS6hX3x3VikWGz34rMlOwNOKWqoSiJa4hhLWoihiqiZgh+thLs+VPwcvdvgz1+AZJk5pj1b4X8/oowFAV9L7hr36X4QGewhVTqpEuQNwKd5EcJig9dDWhPgXwlGIblf1KAqBKcatXGfHg1ct9/+ZIy0nUIboohet+KdANjUrlXnUMNhIjoKuKW5crATE4OX9KVwYGNWEW1MxaBxDnz4McgzB9E1vSpFVNMETXUCicySwtGi3hdGM5IMJEy2d8dBZIYlty2BFn594a/55pnfpNnfjEc2EsnsL32wrw5euQ8e+OKYznMikbGTGMKXK5euIjkwFPnmTT2Jftbv7SeaMmkIZQrK4cCZfQUkhMb3H9nMjp4YGQx8Xsf6fGjm8+Eb4BfnwWsPwLK3Q8vCEZ/fZIffuUa3RHJudzsHd8P+l/nAzFmc96e3Y9omUkp+8pJq3l+SziNubrm4b3IRUYAV01bg1b017REdSPcjrWD1gaB7Ps/8QAUVeX3UujPOZG8kBm1HAgIObCx4uCktRP50sDJmRe613zkQJW2qACNjZxDi4DjUtgRz18uytkUVjpx4nDRD9TXNaxqZMnvO7HM4pu2Y8TilNzQEArydCM1iRfuyCXvdK+ZcS+rA+bz3mLfU9Hm9Itd/5zU0Fk4J85VLl/K3LT2s/PqjdPf7R9gjahWU5npoRNMmj/u7S0STE6SI/nVzFxlLcsHSqaStdMUKhjqfQXD+SurtnErmK6OINgY9GNYU+tL7sEgyXUYJWDr7Hd+AqhXR/D5Spy9TzYodQiNcD4fNfym83bbgpuPguZ/CzlWF9/39F3Dfp+Hm02D9H+CZ/1G318/IHuLXvQghSZiF+2LaTpUkol5nb3lkx98A0I+4vuiYBY0LGXz1P5mirSj1jicE7szQgVScjEyiUxgPnrNoHsf6Psn75nzrYJzehOAwER0FGgIedE2gxQ/QrzcRMdogeiDbI9qYGFRfoJmFF7dH81RlVgQQz6gFZsyKqLcew0jy/M5e/uexzYQDdlVDzY+fenxWrQjpU4jbZRYq97me/fGYznMikZEpdHxKcZGaU0I0MnTEcmXZu/p6eWpTN0KA15sqGmruRwXYCWGwalsP97/UQQYdXVe3FxHRPWtg2tHwhc3w9l/k5mi+gRA01OLsElFDSr732m1s7FrHOo8KZnqTvWyJbCFhJrisawoXxfJKgbJEdOLmv40FRl4/5PLW5Xg0T02JaMwcRJchDL3KJd81vuhYB12vwqYHs3e5iuj+gTim7ld2+p0bCh5uyQxaFYqoz8lQ98Tj3PX8nrzHHvxrfuWsQ0sR/cKJX+Anb/4JR7YcWuf1RoVAoHlUNdDps4+dsNf94CnLeOa6/2Jpe21nCfq0XBLGq6vv7jtPnMVljolLZCAwqvEtIY+KEQJalaOjDhGEvIWluQ9se5hPPfyFqsSE0WDrAbV/LZ4WQiKHHbW04rTzMfKGOnnKxAlCCJq805WiJjI0YBKwPHQn8ohoJjZ8KW0+EU0qzxDL+RsXIOH4icgh/gL5pnYDe3O/x3vh/s/B87fA/LNh5SfU7d46yHNZduPWgVRhiWraShapiOp49fk9uXs1drqJsxcWJxYFgDQO6nS8eq8qiY+m45h2Cl0Uv5dbr/4HvnjOhRN9ahOGw0R0FNA0QVPQgzfRRZ/WRNxoglg3kVSEoBHEm4hAoHiT0IVesgx01b5V2YHjLnIzJsdGRMPeMLqR4u87+pASjp0TqoqI5qPFOx1T68ayS4xwcfsYJxEsmcLjOKwK9FEpovnGVHsHenng5Q5OmNNE3BwsUkRdE52k0An7DP6ysRNbGGSk2uCKNpzILpiyFPyFhPaNBJeIbujeQKPZwmd6Izx2YA1f1nNl4F2JLv6+X80/a00047PyepXdvmXv5CCiHj1H2loCLXj12pbmJqwBPGIEn4VbmuusQ9mZrIDulNGatkVHfxKmHlVCETWrKs11r32/1+a1/epva9kZ9IOkiObjuPZDy9zKq3s5dfqpB/s0DsOFey1LL/MaalsmW/FlhaC1rvYOzgVE1DFvEULw/auP5X0r5yCsBroT3Q7BHB5SKrOikFeda52ntsR5vFHnmN9E0wm+9MS3+Ke/fo4n9j3Izv7qyfhIsKs3zrR6P5ruzOYcZo5yaPZx6DLHoHwVFNTpoZzPRL3M4Lc8DKSdGCbkVFgMp4rmE1FH9VSq9xC33kQJ006Arldyv+cTUXfvuOwH8K7fwZnXwwnXwkcezyVEyRHLgWRhr2pGliZv7t6yM7YBmZzDUe3F/cnLZqgY67wjD56bc1NAnddzXY+SZgBDjCw+fz3gMBEdJZpDXgLpHnpoJOFtAitFJN6lXG4TvRAsXnS9upeUVdhvsKVvCx99+KNcfM/F3LXpLn6z4Tfc8vItdCeU2VEtFFF3pEhj0EPAZ1ecIVoK00LTEcYAHQMlekHzTUoyyeL7D0FYpPBkv+y64/A5wufIU7bXd3Ty6v5BLlrWzkB6gHrfECLq9DQkhc67VzobguYh5byuL79vwUyrRbpp4gKbQxEhx0muN9lLXc9c3jcwyCmJBFu8nux8t664IqLTQ9Mh3YRHptXnB5OwNDcXRPh034gUUSklNz/zBH3xYjMJF2k7iq+E9X1ZDB0FsPWxbEbb75RGCS3Fzp44NM2F/sJEmmWbaKKEWdHQHlEn2AoHYG9ErR+mNHOjJA4C3MDqsLnPYVSCaxpl2C1ZM8LJjICe27e8eS6iQgiWtIcxM/VY0qI32Vvq4UWwUWWbdd4AmYGlzA0eX+tTHlfU+VSMcPeOn3LfzluxU2qETSRRfp0dC3b3xpndHMzGiMOOr/L4SRm5cUxeo3zybkHT3OzvdVaagPQTt5w+zZDzHLESI/rykb/G5xHRooFSyRITFkAZGAEEmmFgH6TjsPY3uTLdhecpY8FgM1xyI7QdUfDwgKOsDw4hoqadLklEA47gIjGZHjiq4Jp2sXhamJe/esFBG90CMKdhBqnuc9gYWU1G68yKJG8kHCaio0RzyEvY7KFLNpLyKtIZSXTT4K2HWBfUFWdYmv3NdCe6eb7zeX7/6u/5/trv89VVXwVUGctXV32Vb6/5Nv/9/H/z5+1/BnLK0GgR9oaxiAOSWU1BkmZyxIrozLqZCCHZ1FNC/Tw+ZxpTkOU6hGGTwuuQcQ296nLpfOSX5zy9VX0uZy9poCfRQ5OvMAnhcUoZbSH50Gnz8OgCDG+WiBYkBvp3A1L1GL+BMb9uKZnI8Xxo/rdJ951KnAD/ueSDtIfa+dCyawHojHWypnMNi+qPoc92PkPXOMudbTtJiOhQo4mMqRWMNKmEP258kR9t/hSff/gbJe+XUpIhRtAYgWNlfmA9ZakKENb+GoDpzqB74YmwoycGnhCYyYJRL7YcSkRLjx4RQuDVvNT5JfsiCeexB1cRfewdj/DQ2x46aK9/GJMDLhHVhipCkxQBI69HdEgJ/5zmEDKj1o9qy3NtRxH1eXTszvdzXNtJtTvZCUDYpwhBWt+NlpnOW+d8AIBYuvYJ90df6eS5Hb3Mbgmye1DFE9WIEFH/zOzvvgrEdXHrTKStEmtBaRMkSMoeUF4XfqdkupyBECjH3Bd/mzvWKb+1pYWQVSqiBzaquKZ1kar6uutD8MdPweP/qchpuPJoH5dYDqYLiahFCkMUkzd/XoL/hKnHlX3eOt/Brb6Z0RjgvUd8DHP358j0H8s0/eAZJx0sHPz6p0mKY/UdNNoRNoo5tPpVRimS6KXJ36hGHjQXl3XQGoubAAAgAElEQVS1+Ft4fPfjPL778YLbP7r8o7x7ybvJ2BlM2+Siuy+iI6p6EGtRmmtjgjDx6EIR0REqom6paSRZYkzLJd+Doy6D296mFpdSsxoH90P3Zph3sOfwKUiRVg5sgMDAHkVpbk8stxkNpAc5dlYja3sfI2klOX/u+QXHeh0iunCKn6n1fm679mQa7gtmiWhB5jOyU/18gyuizYFGkh3vINI3k63S5DzPb1h99vk8JL+EJS1+vO7HPLPvGSKpCOu3tnK8dLL0yX6V4U07iuikKc3NLcXPbe9lV0+aoF7dWKR7NyhH682DLwDwSs8r/Gz9z8jYGb579ndVia8wqTNGUOot8oKLtsXqenzhNjj7S7RnUuADjy/Czp4YNDjriZkER8m2MPFWUZoLSgEOGJIdDhG1MNEncIboULQGWoc/6DDe8HCJqHid5PN9eWvQUPVoTksQ21RxQFe8C6oYR+yaFXl0jbuvO5V5raMfRXcwEPTk4iS/HqAxqGKxeLr2LrrX/noNAHXBNF986t+YEpjCmTPPHPZxHQ0nQXybOscyZkUAc1rqsNMt6P79BG2bkB5GCpNoJko44BLRMkomwKofqtLcy2+Ge6/Lkk3L+RsXIJ+ImuncmLWerYqE+uphw93qtlM+Ca/8EaYfN+x8ZPfvMZgaQkRlGo9oLnu8tHycu2B5xec+mNA0wQ2XHsWnz1vEfevO4vjZk6uEvRZ4faygBwHnxh8ggZd7rVMx/epLEEn30+C2UZYgZC0BtXr7dB9/edtf+LeV/0Z7qJ13LXkXLYEWpoWm0R5qRyDYH1cutYExzj90SaTQE9gSUlZqxIpoyKvOIZYuMcdI03Kku1y/6N0fgV9fAtueHNHrjgcsWyJFGr+u3pNAxxojEUVLcsGyVm7ZcAtLmpdwbFuhcYXHKRf92uXK9fLk+S14vD5STr9wQWIg8sadHZqPgFeRmJf2qM0xllZfLCEEqQw0eJt5bPdjAOzuaOes5c41OOiYSE2y0lxvHvG654W9SKlX1SNqWjZrO18GIGJt55OPfpJ3/OkdPL33aZ7Y/QR/eO0PWTfvBu8oFVFfGI65WlV6dKwjmE7QjEG4blCV5rrO3nlz5mxpFSqilFZEQSVi/F6b/kSGL9+zHrAqZvcP4zAODbh9lK8PRdTnyYWDviFEtL3Bj2arRFa1zrkSO0tSls1oIHSQlaeRIj9OMjQ/fqfnMF7jFqRYyo0/bF41f0xnvJMbz7kxGy9WgsgzRixnVgRqhIudVgm2gJTUexT57E325qmcZZTMyG546jtw5KWw5GJ1W7wHUH/jsmZFoPYMFwP7oGEmNDhOuKd9Gi74f/Dpl+Btv6z8RoE6Jw6NDlFEbdJ4S5SzuqW8VmI2J8w59JOLDQEP7105h6OmT55Zu7XCYSI6GqQGOabvYf5krmRf0oft1Nj3Z2I0mc6iUkoRdRaW6XXTaa9r5x2L38FDb3uoIAOvazphb5j9MYeI1qBHFEBoCd5xwiwSZmLERLTcApB7kRmAyJGofNg27Fqtfv/NZbBm+AVnPJHIWAgtnR0PMtrS3LSVI69CTyLrVrNzYCef8M5CuO/XgdchFJqeZ/KgGSRliR5RZ4En1Dbic3o9IegQ0bW71KY2mDLpT6jP60dPbKF3QF3Dzd5p2Olm5s9zvm+3XAyPf131NMIkcs11ZsrqQe5/aR9Io6oe0dXbeknrO3P/73iWc6dew+L0t6gTs3hyz5P0OsZaTf4RuFbmlwr766FNJVHo2w6ZONM1P15/xCGizhpl5tYHiYku8jL0wyiiPo+6//ZndzG9ycO08OT4ux3GGxfunNvXS2muT9eI734/8R0fK1JEDV1jergNENWX5lJCLZtEyE8Q+zRfdh5qPFNbRXSvUwny4QsG2RB5jn856V+qHreUX01VSRGd0RhAZhwiaksafUo86Y73wHCK6F/+Vf38/+y9eZxcVZn//z731tq19pr0lj0hJASygCTsAgIBcUFFccGFUdFxG2dcZvQ3o6POOM58FR1HHVxGZUbBGQRRQBAEBNn3JYEkZN+T3rurutbz++Pc2rqr13R6qX7er1enq6tu3bo5XX3qfM7nWS7+J+Nm+mugbSvgOKIDN2KKBW2fs2mR6ofYUbNWXPs+2PgNuOBL5jGlRtUZIOdw7unsYtP+7nwLvaxK5lOtislVa46oJaPvny1MCTN3lphKXrwZTzbGLzPnm5+r6kgBPdkEka795o81MHgHptZnhGhxDmG5pu0Rb4TOhJkUJiJHFOCX157CVa9ppTfVS8A9thCZoBNu15cq44iCCb0INZZ3RA88C5kknP9FaFgBf/zayGXCjyN9iRTKKvRStZQ9rtDcVKYgXqORNn728vfYMOdUzn3kx0YMFeF2iryUOFy2h0Q2ja1s3MVhiPF2cPkLi/tZyqqWCPUhL25b8cGzFwKwt8O8/57Y0UGqx7Sw8NOMx7ZYtuYceN/t0LoeHvg6vHSL+Tv0zBBH1CmMY+Gluz8N2h6VEP39i/ux/fupd59Aum8h7Vs+xq33r+CJ7XE6OuvY1rGdAz0mbLm2TCXvISl+/3kjhZzljp2Q7KPJFSBrtbOrvQ+d2ywrdkQx7+08wwhRj+0hXKVYMy/K99+1ltZaD55hFlWCMB3Ih+aWeU/PRLxui0zviWTiCwbliALMrwlhZ8MciR3hj7v/WFI5vhy5qrkzlWITwKQPGCEan2BHdE97DFf4aR5tvxm/y89blr5l1M/1FBVUG6qPKJhQ67DdCJgc0Zoqs9G9t/sIuLxmzREvI0R3/Ak23Qpn/7WJ0lIK5p4EB00UTtnfcbEQzRWz7NlvvoeboW4JnP5hE003BqI+s269/qFXuPQ7D3Lpdx7iv/68A00h1aqYxkAz2XSQU2ql0vh0Z+bOElPJk/9Fd3gpT2vTl8jjC9AVNMKz+shWaDm1bAhazvkcqT9UxFMIt5iIHFGARNaIv85EJ1Hv2Pp5hRwhOmxISrS1vCPabvIXWH45XPJ1syu29Q9jev2JpDNuxiEn8C3lcqr7wR9fPsS7fvRo+TY1A0gVOaIxaysazT80XugsTYqe330Ad+du85xiYWG7SejM4Mp4sY6yrX9mGw0hHw985jzu+5vzuHrDApSCu146RCqT5fl9nSSPns9lLdegOi/llNYIPo8LFpwF19wFXzgIn3oRPvHMjOnBmgurSiTc1AW9aO0aVTXnl46+irISXLbgTegDH+GKVav532s38MsPriebqOdw/CA7Ok0RsfrAGN5XnkBBNHpD4PZBqMksLFIxmt0hYvoo/ak0XWlHcBZtVGmdKakEPJIjqqwUt3z0TDauaiSVSY3YukAQpppKK1ZULD7LVRidV1NFJhXmgb0P8Mn7PsnPN/182PNlyZb9e58pFEeOeW0fVU47l1iZInJaa9b86A187LffG/Pr7O2I42/+Fbt6t7CsetmYKjAXpzD4GH7dssC/gZbDp7AsmWJO2IjSPV2OY+mPlndEX7nTiNQzPl64b84qUwE3mynvevd3GtMBBUdeMfd1OYUsw+OvTltTZaJklJWguS5Owv0CX3/sGyi7n9Nblw06vjHYQN/WL3LBonXjfk1hcpi5s8RUcWQLHHiWo8veQa5sdcBr0/k2E3Iavfjr8M5flX1qTlSOKESL4v4nyhHtSfbQl+ojnU0Pquo6EmFfTogOU7Y80gpduwffn5vc/FGYf6bpjTmVQrTfCNFcuLFFwRH99j1b+fO2Ntr6Rg69STlVc/22mRw/vubjNB9yypMHGmDP4/DQt+Dma3Dr3HMGC9FBhaPiHaZ8uUCVx0VLdRWtNVW89oQGfvHYbl7c10V/yuSlzNWXsmVPkNMXDsilcfvNxkiZqITpilJGqCVTHi4/pRELFxk9shDd22dCpF6//DRe/spG/u1tp3DaghpWNUfwalOF8PkjzwHQGBxFhZFiqpzjfU7OSvUCU3Ai3U+TJ0pGp1CuXg7GnI+Roo2qrEqXVr7N9x4cvEHnc/m4f8/9PHv4WXOabKo0SkAQpiH50NwZLLaKKc7hLCdE59dWkUqG8u1bcn+vQ6F1FmsGLzEtZaG0mYf8bl8+NLQ/PTh3/9G9L5F27+CB9u+P+XV2txWK0o11bVbcO9SfGqbYELCwpoYlHfOxgcaoqba7v8dp2eKLlndEk71m7VZUuIm5J5k0jD2PO7/jIuG87V7jos5dZQrcHXnZ3N/tOKKRQpXfsdIQMAaKr+kmuuu/zJHA9/HUPsRrGs7hr9e/b9DxJzVF+MqbTuINq6euNYswOmbuLDFVOOGnruZCOWi/x0Wn14QNRGuXwhD95+qdcIiT64ev4JXrQ+lSrmPuZZcTot3J7ny4b7HQHQ1hxxGNp0dwRLv3Q3ZAvmVucvNFjTu1+HzY9odCO4ch+NJtL/H5m58nnRld8+zRkqv8G3AKrNiOI/rivi6e22uKurT1jlwkJidEl0VPYkPjBt65/J1mkQ7QexB+/Dq450vQdwTPKe8EBoTmWm76daY0PxRMaK44ooN47xkLONqb4J/vMB9sbltx89N7yWQ1py+a+cI9rc0mj856eOPqZmzlIj2CEO1PZejWO7DxsDhampPusi1aQwsAeLnzeQAaw2Mcp5wQzRV8ql4Ae0z+c5MT3aHcHezvc8Sl44hqrdFkcFsj9xEF+OjqjwLkq4knM0np4SnMACzn38pwREO+wt+cyxq8YTSvJoBOmbXDiTUn8lLbS8OmDxQXK5qpKIzj6Hf5CTg5osXroFgqxif/+En+5fF/AcBOLhzzaxzoLfRlPav5rDE91+sqckTLCcki5tVUUaXMJnt9bQM64+NwzBGi/ii0bYN9T8Hhl+GGN8O9XzFpVO4BZsjSiyDcAje9G3e2z/yOuw/AEz+CG99lqqxv/BdTVyDniDpRYcfiiNZVmc8hpTQhax43bLyBh696mB9v/I98jYViLEvxnvXz8bkr4++zkpnZs8RUEDOTRrC60Ce0psqTF3nDhb2uaVjDDRtv4JpV1wz7ErnQ3GOtmAuFYkU9yZ589cyxhuaGndj8eHoERzSbLlQtzdHfCS5fYUdt6UWmDPjB54c81c6jffzskZ3c+MQePnvz82RHESo7WroTxhHNhRtbyoUmw/88VnBzj/aO7IimHSH6rqUf4fqLrjfhNMVC0+WHz7wKH3sC93mfA0od0X/X7fzGTgx2RGMiRMtx9pI6FtUFeHxnO3VBDyc1R9jTHse2VEWUO18cXkk6Np/EoctZPjeErdxkdJp33v5Ovv54+f6geztiWJ5DzPHPL/tB3BIyc9Th+F501kNDcIwFgPyOcM3NQ6e+37w3axbRvPzNAFjuDo4mco6omR9SGY1SA0Nzc1VzB3/knNF0Bo2BRo7GzaJIHFFhJpAPza2QqrlBX2EOKVe7Yl5NFamODbxl3qf5wEkfIJ6Os6Vjy5Dn02RnfP5szhENuP0EnNDcRJEjuqVjC3/c80de7TXucNU4Uqm6kian8nOnfY4rT7hyTM8tDs11xY8McyQsrAsSxMzR1dU16EwgX8gOX8S4lz88H753uin299C3IBkzaRrFBOrgvbeBspiXfhUvadMT9HYnj/Q9t5rPifoTTNu+TApe+F9oXD34XGMg7Ct8fkVdjaxuWJ03WoSZzcyeJaYCp6ppuLYgRNcvqhmVEAVY3bB6xFCenGM51n6f5fDYHny2j55kDx2JXPXMsS3cAx4PWlskMsM5ok67kYF5ovHOQnlwgCUXmu/DhOf++pl9eOrvZM3qB/j107v52h2bx3S9w5EXoo6DbSsXGZ3mtmf3sXaeuc5ROaJOjqjHVSQAioVow/J8aGgu3y3niO7o2sH12SOsT1t89rTPlp443i6huWWwLMV7NpiCOatbq7nwRPP3F/S6ZlxbgHIEPQHiuz5CNtGIz23jUm6yOsULR1/gfzb/T9nn7GqLYXkPMz9cfhe+OVyD1oosGXTGT9Q/RnGXa0GVddzM1tfAp16AjzxC41zTosjl7aAr7Yy/s1F1qLsf04JldDmiYPLn2+Jmbk1lU4NzpwVhmlFpQjTsG34enVdbRTbZQD1n56u6Dheemx0YtjkjMfNVwOMj4DGOaH9RjughpypsJjaPTLyVNGMvZNSbNmvHZdXLym4ADIfPXZgnrb7h2+pcvHIO715r1hahUAQyQbodEZx3Ls/6K3jLj01orTcEqb7y4rF2MVx9K5osC1I7YPcjptL/B35fSImpXw7ZlOmUcPQVWP+RMf3fBmIpC7Lmd1DlFgFaSYgQHSuxNkDhCtTw5jXNfPsdq3HZ1qiF6GjICdGxhtAORcgTOqbQXJ/bhqx7eCEaaTXfB1bO7e8sdfiCDWZnbBgh+sSBJ/HUPsC2xJ0sXnkbP3341Xyp7mOlx+mFGvYWQnM1GfqSGT5+gSk+NRZH1FPsRGVSULvE3D7//8vfnXN3co7okZjZufxgP5zdcnbh+VqbHFFxRMvy1nUt1Ie8nHtCPW9bZ3JNXntCZbS5sQeEwrksNxkKGxu9yd6BT2HrkTYsdxcr6ga3igJorq7Kf3DrTBXhsQrRS/4ZLvwyLLmgcJ9TuKjKXUWNrwaPt6sgRB1H9O5Nh0BlaI4WObDDOKJgWlsdcXb0k5mkOKLCtCcnGuwKEaKhEYRo0OuiLuhhV1sff3ghQZ2vgeec/PNyVEJobm7eCnmqCDl1JRJFG84vHDTrnczB9xFy1ZDWY2/t0ucI0Rrf2DegS/ot5yrUDoHLtlgY0uDyo2w3HhXOi2BaTjPfz/4bWPVWWHWlWbt17x8cmptjzkr22E34dQLQphJu8SZ6/Qnm+x+/ZupmrHzzmP9/g3A+z4IuEaKVxAyfJaaAWJsRCpbNt96+mjeuNs15O/s78bv8Y+7RWY7XzX8dHzjpA3z3gu8e87kAor4o7f3tdDqFg8aaEK+UAj2CEI06QrRzQMGieGehT1WOpRfB3sfzYc7FJNIZtsf/hI2fj6/5OIezj+Gee5NToObY6UnkhKjZ5XNZNpDlxMYw5y2rx20rDveMoliR077FO9ARrV4AX+oqWbzn3J1UxgjR/KZFZkA+baLHhDf7xREtR8jn5pHPn8971s+nIezjnk+fwz9dsWqqL2tCcNulQtRWbrJFQvSGTTeU5hgDm45sA2BF3ZKy55wb8aEzZvFk6+AgsTsi3hCc9SkYoopjU6AJ29NBZzJXNdcI0d+/eACXramuKgpTG4UjKqG5wkwiJ7IqxREtzhEditaaKm59dj9//5uX8GYW8dzhoYUoFRCaqx3XO+gtCs3NFNYHe7oPoLXNL6+5gKAnQGYcjmg8Y1Kmasbxue9zF/3O2raN/IRUPJ9qUWVHSWTNa3P5t+HTmwt9t6sXFM45TDhtTPmwch5BZF7pg3WOEE10wakfMG1ijhmz3gp7RYhWEjN7lpgKYm2FIh5FdCQ6JszBnBuYy1+t+yuag80Tcr4GfwNHY0fpTHSiUOOKq1faQzI7jEDzBMy4DHREB4bmAix9nVmYbjfFSdj/DCRjpDNZTvzqD+lhOzXuBXzo5A9xSmQj7shz9CZGDpcdDTGnoErUyTewlQtUhneePg+lFAGvi+v/tJ3/uG/4ST2dNaG5brtoEZJJQpmQwtyi+nDchM7khWh6QKGHuCPMJTR3SFxFLQaWNISo8sz8sFwA2+mplqtWOVCIfe+577Hx1xt59MCj+ft2dO8EGFSoKEdjxI/OmsWTR40/N2comoJN4OqgI1VwRA/39PPkrg5sO1v6f8gL0fLnqvPX0dHfQTqbltBcYUZQEKKVsYwayREFmF9TRTKdRSno6mxmf99+DsfKh4RqshUzNiZH1AipZKbwuX0odhidCtEUqcJj+dHjEKL92W5AlbTtGy3+omJF+VZ5w5FJ5gVhyB0lTS9ZnQVPVWkhoZwQhWGFaIacNKRgRuTwBo04tdxGiE4I5nMk6hT0FCqDypglJpN4e1kh2pXoGrPTOFnU+es4Ej/C0fhRwt7wmPpU5VB4SA7niIIJzx2YI9pfxhFtXmcKGO1/xriiP7oQ7v9n+pIJAgv/A9t3gNbAIgDqfWZybI8PDk0cD32Oa1PtN5NryOvFbWd5k1PiuzNmPmRue3b/sOdJO3lzHntAaG6Zap+5QjI3bLqB3+/8fb4R+GAh6uRrSGjurCNXpTKXx1ks4uJ73803zvoubsvNN5/8Zv7+w/HdgMW80ICdaIfGIkfUa0/8B3dzsJmM1c6R3P5UKs5dLx1Ca1AqM4QQHcIR9dWh0XT0d5DKiCMqTH8KobmVsRk2Gkf0dSvmct4J9XzygqUcOmzy9IcKz9VkZnyOqN9tfrc1VQFctoXOukgWOaLt/UfQ6TB1QQ8+249WYw/NTdGNR4XGtS4bJERHSmFKFzbLq73VoHS+iGUJ1fMLt4cRopoMdu41I62DD1jzbjjnbyA0Z/Bj48J8jlT7J8b0EaYHIkTHSqy8EJ1IR3Siqa+q51DsEHfuuJNT55w6rnNYeEiNlP8QbR2dI2rZJpfyyBY48JwJR33+JuKOWwmwrMa4PEGnum3HBAnRgY7ovJoQzTXe/IfwyiazYD+ldfjfZc4RLRWi5R3R4gIEv9j8CzoTnQSUC09mgBDNhSpLaO6sJVpl3ofFjqDO+OnrXMw7l7+Tze2b2dm1k0xW05PdR8ieM2Srk9qgJy9Eq+yJD2VqCjahVZquZBfYXkjF+P2LB1hUHyCj0wMq+Q6fI1rntIO54rYrSOv0hKQ4CMLxJDerz5YcUYDLTm7kp+9/DRevnEu2vwlbuYcsWFQJVXNz83FD0Jk/tYtkthCd1Z1qx001LtvC76oCK51fG4yWNH34rDFWNHfwu4vCXVOxwV0LBlK0Rqlz1rGH+44OPs4bNmYBDJ0jivkd9+euPdQ4+IDzPgfnfX74axoT5nOkxjc919rC+JjZs8RUEGsrGzo53R1RgFg6xkdOGV/lMgsP6eFCcwFqFkP7DpPrCJBJQ7JnsCMKULcUjjpCFExLlx0P5B++ZOlaAEIeM8m1x3vGdd0DybWgCTgC12W5Sj44bvrwBmoCHhLp4XNS88WKXMWhuamyQrSYZw4/w5OHniRqeczxJRfnOKISmjvr6Ok378FolXn/uK1SIfrZ/3uOA/uWoVD8fufv2d8ZB/cR5vrLu6EAXpeN2wnJDbsn3hFtCpoogp7MYXD76I/38uj2di5Z2UBGj80RXTtnLa+b/zpe2/paPrb6Y1yx9IoJv15BmEhyIms8TtZ0JDiGNIflc0PUBQMEWcizR4YSohprhi8xc5WRvbbX+dlFqkiIxrPtBF3m89rvMmuKvmSs5ByZbGbIYovpTBat+vFa40ud8LsHrDdGI0Sd0Ny5QbMu3NlRJrRaqYLh4jiimaymP1Va10KTZWfVGvjwn0yf+OONMp8jdQERopXEzJ4lJhuty+aI/uqVX7GrexfRgc7fNKHeX6gsuqx62bjOYeMlrUfI01z6OlOue9u95ud+J+Sj3LjULYPOXbDtHgg3m3DUTbcAsDb6etbNXQcUigp190+MI9qf6Qdt5RfJbstdIkSDXhcNIS/xZGaoUwAFIeod6IiW6eeYY2FkIW7LzcvtLxO1vKXtXkBCc2cxJzWHmV9bxd9uXA6UVkP8+8vWcvkpTXz/j23M8ZzInTvuZEdbD5b3KIuii4Y9r892hOhxiNbI5bDHskfAXcX+Ix1kspoLV5j5xj2G9i3Vvmq+ed43+ccz/5EPn/Lh/OaZIExXcjmileKIWmMoZqaU4qwltfR0NbO5bXNJAZ8CMz9HNBfN5Hf6gyrtYmfyXu7f/SB9qT6yqp+Ix8xVVY5z2N5fuml+9Z1X88E/fDBfLLKYWCqDsvrxuYZ2HYejyj2gAFCZApAlpBP5zfKWsJmnd3cdKn9sLiTXE+DJne2c8fV7Of/f7i/p667JkrW80HjKuK5/7JjXbgjIGqmSmNmzxGST7DXiYYAQvWfXPQBctfyqqbiqEamvMhNO0B0cc5+qHC7lJc0IjmjreiOitt5tfs5NvOUc0foTzOJ054OmrPdJb8W13bR0qfMWcg0iThW3Tqf/57HSn4mD9uTHYaAjCqZdTTw1SiE6sGruEI7ow1c9zM2X38xFCy4CIGr7QGcKPRqhKDRXJtnZRsjn5oHPvJY188zvPuwubB7Ni9Zy3dtXs25+NemelWzv2s6f9zyOUhlW1i8d9ry5kNya47BJ1hgwoVgJ3Q5uP4faOmip9hMKmb/7sKfIhc0J0aGqFQnCDKPS2reMlbOX1tPX1UIqm2Jz2+Be3yY0d2aPTTlHFODj9300X6Qpt9EfdIRoR6x003xz2ys8duAxrvztO/i3P/2W5/a05R+LJTJgJahyTZAjWi7MtpiiNcqCqMnb3NdzpPyx7io08LMdO3nPbz9O39zP0+b/JduPFv//MpP6/s/VKpwblDVSJSFCdCzEnAlkgBCNpWOsb1zPwkj5xvJTTW6ivHjBxeM+h8vykB3JEbVdJjw3Fx4Sd4RouUXwCZfBJV+HDz0AF30VTrmKrBPy4ioKdYo4uZzdiYkJzU1m+rEoTN4uy5Xv79mb7GX3rgdZyh4SI7SLyTgLa/egYkXlhWjIE8Jtu7ly2ZUAVNtOa4s9jxUOireb3Iwhcv6E2UODt9CSpT4QQSnFquYIhzvNe2NT+yYAVs8ZXoi6lVkc1R6HzQ2/y4+Nm6zVR9ryEuvt5JKVc7l12624LBcXzCvqPzqCIyoIMw7HGKqU0NyxctbSOjJxkxpQPk80O+OLFeXI5btrVSjYuK/HOIlNQSPogo6D2FEUvZXIJEjpBKnuVezv7uZnO/6OT9z9tfzjfck0yu4ftxCt8gx0RNvKH5gjkwSnwNH86nq0VhzuG+I5ngA/iYT4t/TdeMPbaAjU4Kl+jAde3Zo/xFRGnrzf8YZmU+NEQnMri8oo9zZZ5IVoaQ5fLB2j1je4gNF0oSXUwg0bb2Bl3cpxn8OtfBxK7W4AACAASURBVGT0KEqTe4OQcEqCx9vMTkc5R9Ttg/VF+arNa+kPtwC6pAphtSNEewfkXYyXZLYfSxcmb5cyjui2jm28+TbTcPmJo3t4W83vhj1PxnFESxYhmeSIInJNwxouWXAJZ8RNrir/dYnpOwrGES03VsKsI+IpvA+ifvN+XdEYJvGChR/Y22faCy2uHj4016Oq0VrRHJ474deolMJvh4jbMba7l7Be3U1kscWnn/str219LbX+ojlRD1+sSBBmHpVVNRfg7r86B797dMJiTtjH0rpG2nR92cq5miz2DP97H1i9O2v15WM6trXtA6A1YiJDQo4Q7SoSou1Ous3JNaeyNPgJbuv8IGmr4FrGEhmUlSDoHl+xokCxI2q5Rhai6UQ+5HZuuAqdqaItXj6ct9vy8PNImNZsE//7rl+zq3sPb7/9bTy09zGuYa1z1OT+jv/fef/K7p7d+VBpoTKY2bPEZJMLnRzoiKZiBNwT36dvIlndsPqYWiL4rDBZ1TdyRThPkFfSXZzxyzO49MmvcNC2yzuiA1GKpOPcuovEXW2VCe/rTU5MaG4q24+tioSo44j+7UN/m7+vzbZGDs3VjhDN7QZqPWxobg6lFP967r9yOUVVTHOL9HiHVMwVABMeniNXzXJFUxitze3OzC7cOlIa/lqGKKuJ7fgk88IT05N4IAF3GGXH+MudZxNQCdpevY6ORMfgYkMiRIUKQ2sjSdwV5IgumxOitWb0+YpnL60n3tPKM4efLVOQZ+ZXzb3utdfxnhXvYX7YtDNRqvB/3NVlIr+W1Jiibbl6Fu39hXYo+7uNMFxU28DX3rieEMvozxaEam8iBVaCsGd8QtTnLlrTVdVCbKTQ3JSpcI75jLGyQTqTHWUPvS+ZpN22+YvGDQQ8AZbXLsPSVWztLtp0UJPriFa5q1hes3zSXk+YHEacJZRSP1FKHVZKvTjE40op9R2l1Dal1PNKqbXljqsE/nvXnXyhroZDA9KcYqlYPlG9UgnadaA0R2JD5BPk8IZ4RsfpS/WxL9nJJ+fUEXePrhVD2hFxxS5jjd8Its2HjtIVT5V93lhI6wQuVbgel+UiozO83P4ybw2acMh2y6Y/UfRafUdhy90l58k5ovliDDmBPoIQzVPcMDr3wRVvl4q5AgA+t0Xv1r+lb/snCXgdIdoYZlWT2QRL2wcI2SOLS5flIpuYeDc0R8QTRdkxjvgXsnfO+dyy7wHmVs1hQ+OG0gPzobmSIypUCo4jWkFCdKyctbSOVN882vqPsq93X+mDauY7ogsiC/jsaZ8tW3RpT89+dMbLghrzmV3rbCJ/+4UvcOmvL+WunXexzxGidU5qRJUdJqULQrSjvwelNCHf+Npr2cUFpqrqRi5WlEmURG25CdObGlxECWCXc+pTQ8YgsJRFtb2I7uzu/DG6AgpSCVPPaN5BPwUuGebxjcBS5+tDwPeP/bKmH5lshh8efJDbQkHe9KdPsLdnb/6xWLryhWjIbRbA/3jnw7xycJh8TU+AvTqJx/Ly7YbXstnj4e+f/c6Q5cuLSTn5liU5on6zy7jXupGv/+RzkIoPfYLeI/DcTZAd2s1M0497gCMK8Jamc7jilT8D0G5beNM5cdgB/7oYfvG2gmCkUKwo74jmKuCONr/ztL+Ai//ZuW6nal2sTQoVCYDZrdbpCNlEI26nQoNlKc4/oSl/TNBVP9TT87zvDLOTv7Lp+OTUzIvWMb8env7i67AuvJaHvTZv8jYPXpxLjqhQYWSdzzTXMJXSK53TF9ZgJU2e6Ka2TQMe1ZPqlk02u3teJZsOMydkNrZbwy3Edn2Iy1o+QCwV45Ztt3DQyb+cGzIiNeg2kWW59VB7zKylot7xOaIlVNWMrliRq7D+8dth+rNdZQ99PLgSS0PT2nfn72usaiVrH6E7nqsXkp21xbqEiWPEVYHW+k/AcNssbwR+rg2PAlGlVJnOtjOXWCrGB+76AO2Zft7d3Utvqo8Xjr4AQDqbJpFJUDXO8tszhSanQuY9rz7Ljx/cPvSBniC7VZZ4PEL7s91c29XH73f/gS0dW0Z8jbQybmLxB3txOPHdVXfDDVcUwvyKyWbg35bALR8q6Uc6kIxO4rYKjui6Oes4r+U8PrvjRWqcHc122yaYcnItnv1l4cm9hX5bWZ0BrQpViPNCdJSOqGVD48nmds8BeOpn0LET5p48uucLFU1ztHwOTHEDc4/lLXtMMecvn8POr1/GnPDoohLGStQXJZ7pxrIUv+nbDkrxpm2PQGpAPrk4okKFoTHv6Znu+h0LVR4Xq+cuB23xcvvLAx7NVLQQPZzYjspECPvNeiXgscnEFuHpfR2nz13P1vatHO4zS+dcz86oNwJWjO7+NFpr/vDyLgDmBCegNkRV7ShyREvTh4LuKCnKGwuHUj3obA0uf2ETc2F0Psru54UDTkFKJUJUOHYmYgZtBvYU/bzXua9iuGPHHTx9+GkArkqZSaej38TVx9KmiE6lC9FzFpnqnL7GW7l7341kskM4nN4ge10WJKvJxDpYFjMLz/YhEuKLSdq53p7lJ7akpWD3w7D70cEPFjdy7t6fv/n83nae3FUIJ86SwGMXFuWnzT2Nf69ZT9X+Z6k+9+8AaLNtfmN9Bv2tlXD/PxfO21vot2Uc0aI/n4wTyjuWirchZ7/mpVvg9r+GxefDho+N/vlCxXL+8gb+6sJlvO+MBSX3B8YoRI83UW+UrkQX6WyaW7bdwvrocpq7D8Gz/1N6oDiiQoWhnff0bHZEAc5Z2kgm0cDzh0sdUa00doWVITk3+GWSbWcBkKEfnxXNb0Yvrg/yhlOa+Pkju3hwk5vD8cPs7jFCsyVsIsqq/VGUlWZ/Vxc3P72PB181kXUNwQmIWAnNhe59kBmmjkcmUSJEo94atBUjlRmc9tSTPoqX0gitlQ2mON4zB7Y6rm52VoemCxPDRMwS5ba4y6oUpdSHlFJPKqWePHJkhFzDacTtW37Nggw8sXMPTV7zh9mVMOEMsZQRotO9WNGxcsaiwt5COvwHntxZXlhqd4C9Lhe+TJQ3Lw9QZZtx2XRoiKbJRaSd6oO2PfTElnUH4LlfDn6gY1fhds/B/M2333YN77v3UtIZs2jQKom3yBEl0QP3fhmaT6Vq9bvx2z46nFDIbMvpMG89XOSUWy9xRLOUCtExOqIATtl3nvopVM+Ht/7EtMARZj1KKT554VK+9IbSStfFDcx9rukhRDM6wz277+FA3wGuWPUBaDkN/nzdgAWRFCsSKotCaO7sXoifv7yBbH8TLx4d2Es0i1VhY/Pdt1zBtzYWNotDrrr8bctSfOeqNfzo6lPp62kA4JGjt6C1RUPIhN7WV5n146O79vAPv3mR5c1m43q8VXNLaDkNUjE4+PzQx2RSJaG5dU4U2P4yvUT7dVvJ/w9gXaMxJF5u20FW4ziismYRjo2JWBXsBVqLfm4B9pc7UGt9vdb6VK31qfX1I+c3TQcO9B7gybYXuKy7E5/WuJZtJOwJ05FwHFFHiFZ6jmjAW3D6lJ3gpucfKXtcu20Rtywa3NV4Ut3MCZmdwIO95SuzFZOyhndEAZ6eew68dOvgXNHO8kLUFdiGsvu54Zn7zA6eSpaW/n7uRuN0XvJ1sCxqfNW0O0K49/X/Ce/6Xzj57ebYvsJkndEZSvZgxiNEvUHwhMAbgatulPxQYUSCnsJ7N9dkfSqJeM1O/tcf+zoRb4Tz518AZ/81dO6Gzb8pHCiOqFBh5EJzZ7sjunxuiBpPM32ZdhKZBABaa5TSFRm2fELdvPztGm/doMcvXDGHi5e8Bp0o5POHncrncwLmM/4rdzyFZSmuPtMUkguOs2puCfPPMN93PTz0MenSYkVzAub6t7cXNtljqRjXP/tfZOyjRD2l6/SF1Wapv7t7Lx19iYr9HQuTy0S8g24Drnaq564HurTWB0Z60kzh9h23A3BZbx+85cdw4ZeIeqN09ptKY7nQ3Ep3RAHuv/J+7nrLXSjt4oH9d5QtQLRfmxCPVk8E+juJOOKqLV4+Ib6YlLOz5h7ig11rxUcye8kmuuCVO0sf7NgFKKheCL0FIUratLe4ddvv6E9lwEriKxaiuZyK5nXmu7L4XTDAf1QtMMeDKQKgLOOIZtKw6TdEkgfx6IxxVGF8obkAl/4rvPtmqFs6tucJs5JAUQNzr+v45H2OhQXhBQC09bfxiTWfwGN7YOnFpkXA/qIm9yJEhQojJ0SH+ryaLSilOGluCwCHnKihjM5Vla8sRxSgtTqA1mYemxNoKHvM+cvm0bv9E6T2fAR18MO4nCirpfUmCkrZMT69sZabX/0ZLuWizj9Y0I6W9y/6F/5hzU8g3GTWPzkhevvfwKM/KByYbzFX+AxpCpnX3d1ViFj78O1f5d+f+yZaWywOl0bkeG0vtq7iaPwo37jLOOBLGoZvISYIIzGa9i2/BB4BTlBK7VVKXaOUulYpda1zyB3AdmAb8EPgo8ftaicZrTW3b7+d1WloXXoprHorKEXUF6UzYYRoX8r0t5wNDXZr/bU0BZs4MXIGCe9TPLdvcIW2fRnjVC72RyDeRaiqFq0tOvu7Rzx/yiovRO853McfI2fw+uZr6fd2sTXUaJzMYjp3m5zL6LwSR1QrIxD3xV+mqz+OUrr0d5VJgrLBMn8KF82/CIDvedYWhKhlm9LoD30TvrMafnU1J/c9iE8n4aHrCueBsTmiAKuvgtbTxvYcYdYS9BbEp9+eeiG6umE19115Hw+94yGuPOFKc6dlQaQFuopKB4gQFSoMLaG5eVrDxtnb2maC4RJp44xWYtimx2VB1qwhmnLpNQM4e2k9i+sD9PfOZ46nIObmBEwo7Mb1B/nh9k+wr3cf1732Omp842/b9umzL+WtJztriPlnmjoaiR546r/g1XsLB2bTgC5Zo8yLmOvf122ivbTWvNjxZ3RsOX+/8nd88by3D3q9KruazkQ7v3raFK2cG658E0Y4voymau5VWutGrbVba92itf6x1voHWusfOI9rrfVfaq0Xa61Xaa2fPP6XPTls6djCts5tXNbZDq3r8/dXe6vzQnS25IgW895Vb0O5Yvzk6TsGPfaqIzhPDAahvxNPsAYyProTIwvRpLN76nZ2mgHoa2NOXxv1DSdx5crXAnBX9cmw9S74078WKuh27jJ5lqFG2PsE7HyIWDIFlqnemVD72Ofs1gbcA4Ro0cT86VM/TdBVTRqbeKqoDUzfYbOYDs2FE99AVoGde37x97EKUUEYA0FPkRB1T31oLkCdvy4fopsn2gqdxUI0Fz0hVXOFyiDr5D27Ja+feREjRLd3mGC4l9tNlfwaT8uUXdPxxE6atljzo+V7NAe8Ln7zsbP4wbvX8p/vWZe/vyXUQo2vhgcO/JaWYAs3vf4mzm09d+IubP4ZpuXcUz81wjNR6FmKszmAq7BGWVhtQm8POW1mXjyyhbTVzoa553Llaa1EqgZHeEW9NWi7h4a5pkryqXNOnbjrF2Ylsj09DH/eb/pKXtQXg3mFBu0Rb6QgRGdJ1dxiLl50Nq5sNQ8fvnPQY6/0tBPOZDgx5IJEN8pfjUUVvaneMmcqJRea6ykWom1bzfe6ZZwydxkq6+MuwhBogD9+Fbbfbx7v2AXR+aaEOcBPL+Pw7qdRSuNLLQeluWe7qbZbks+bSQ0Sjx7Lg1Ip4kkjRI/0JEwuJ8C7/g/WXk0GsDWmOEDuPDD20FxBGAMljuh0jsKItIojKlQ0haq54oguqTH5kLu7TDTSUwefA6C16oQpu6bjSaDrPcT3XsWK+gVDHhP0urjkpEYW1xfyPwPuADdediN/d/rf8fONP6c11Drk88dFLk/0z98235NFrVnym+WFDczagLm2WMqI1Jte+gMAb1x2wZAv0RRqwHL1Ut/0DEuiSzil/pQJunhhtiKrgmHoTHTiwaLG8hZ6PlLqiOZCcyu9WFExtmWzpuYC+l2beGbfrpLHdsXaaE5naHU5xYn8UVxU0Zcu36uqmJTjiHoociKPOkK0dgm2ZVPtWsTu9D70p16AcLMJl00nTdny6vmw/iNwzmfAEyRz918B0BxYAMArR3cDECwRoslB4tFte8BKc/vzB/jrXz3HaV+7h0fPvxH+4l7wR2HuKrJKYaGha2/hPCCOqHBcCXgK79Uq99SH5g5JdJ4pApbrJ5pzRKWPqFAh6JwjOstzRAEW1zagtcXBPhN19Oi+58imwrxm3sIpvrLjw8LaOtI9p1AdGPvnfWOwkauWX4XveOT4Vy+AUFOhsGKinBAtfIbkImxyRaYeOfAg2UQjFy5bNuRLLK1txPa0s7vvFd667K2FXuqCME5EiA5DT7KHkNbQcmrJH2/UFyWejtOf7ieeNjmRs8kRBfjgmrejlOb6p24tuf9wsp2mdBp/jxF9+KJ4rCoSmb4Rz1kQokWOaPurYLmM2wksrz4J7dnPy229sOY9sONBE4qLNsdEW+H8L8Kbf0Cy04QHtYRM65mjcTM5h7zDO6JVbh9KpfjRQzu4+WkjNP9rq8+8DwCCc+hVfhOaK0JUmES8roL7UjVNQnPLEnF2+nN/H+KIChWGdgrySB9FqA/50ekQR5zP2C2dm8j0t3BS0wT0x5yGXPf2NXz5DStZVDfNUrKUKriiMERoblEvapcLnbVJZhP0JHs4nHyZBns1PvfQ7+k6fx0ajdf2cvniyyf6fyDMQmRVMBSZND1HNhNKJU0vySKi3ihgHNOcED0uu1vTmA3zlmPrEI/te77Qo1Nr+nQ74WwVPPFDc6C/Gp8dJKlHFqJJ5+3o0UWOaM8h02/TycM5e95alMpy55anTfEoNDzyXXNstFBWnRMvZ3uzySk92ckT7UyaPIigZ6AQLXVEQ14/py0K8fDnz+flr1zC+85YwH2vHMmH6qIUD3vPIKGqCuGHEporTAK2Vdh9DnimcWju3FXm+84HzXcRokKFkXNEXRVYkGes2JbCpSN0JdvoTnbTld5PWC0qm2NYCdSHvLz3jAXT0w3MCdHmdZAsEqL5NcrAzXIXqUyKe3Y8BCrLhsYzhz19rsLvxQsuJuyRirnCsSOrgqG46+/o2fckoWx2kBCt9pqWJJ2JTvrT/bgt96zsJTY/uIR+ay+Xf9fk0rbHO9AqSTxctCPnjxJwhcgQG/F8OUfUVSxEew8aIerwukWmOtxj+58xLU+8Edj+gHmwen7J+Z5tej0A6/abynGxTDsAEW/RLuaAYkUAPtuHUmmaon58bpv1i2pJprO8cqgQ5mLK07ugvwv6jg4zyQvC8aGk6NZ0Y85KqF0KL95sfhYhKlQYeSEqjigAPlVNb7qdl46+BMDS6IopvqJZyup3mVaDSy+GdL9pOQfghN8OXKMo7SaZTfLbrfeiMz7edOIGhmNJdAku5eKq5Vcdj6sXZiGyKihHXxtsupVeyzJCtKW0vUauQmRnopP+TP+sc0NznD3/ZGzffl5p30xXPMULh3YAUF23pnCQL0q1N4K2+uhLGLGWymTZfKCbRDpTcr6Us0j1lnNEHeYEG3DrGnZ0b+ZQdz/pQAOk+kz4bri55HxHnfy0hkwCnfWQ0CavN+IbXoh6bE8+ZwJgZZPZ9Xtpf6EXqtZZ0pbze99+v4TmCpNOyDuNhahScNJbYOdDpp1SXohOQwdBEMZBrn2LhOYagu4akrqTx/ebQkXrm6SIzZTg9ploMa9TYDFXsGiINYrSLlLZJK90vAz9C1gzb/iepivrVvLwOx/mpLqTJvrKhVmKCNFyBGrhww/S3bCM0NJLwFea51DtcxzRfuOI+u1pvCA8juQmosCif+elA0d44dBOABY3rS4c5I8yL9KEsjI8+OoOrr3hKdb84x/Y+O0HufHxPSXnSzhNot06Xbiz9xCESnt1tfhPoE/tYMO//YLfdDmLgEiL6fdZRGfCCMdqncHSfrRtWsiUCtHBoble21siRFuq/YR8LjbtL7SgyZIlrXzgr4atd0torjDpBKdzaC4YIYqGl24VR1SoOLRTy0CKFRlqvHVkrT4e3vcE2UQdp81vHvlJwvHD61TrzeWJph0h6hogRHGTziaJpeNE/SHc9shz9LSu2C7MOGRVMBShOfQkewkF6gc9lHNEOxIdxNPxWeuIXjj/Qq5Y9C4Afr31Fp4+/AwAq5sXFQ7yRVlWa3I3v3LXw9yz+RBvXN2E12Wxu700XDetBuSIZlIQOwrB0l5da+eeguVpJ7D4W3xpnnOOaGlYLkBPshtLQyCTwtJ+lDILh2p/oZx6OUfUa3tJ5nYPAaUUJzVFuOOFA/z3o7uIJdNoncFSNqx4Izx/Ezzz3+ZgcUSFSWLaC9H6ZTDnJNh8G5CrmisfOUJlkBOiEpprqK8ya6VNnY+bQkXNlVmoaMbgyQnRnCOaC80tLXJn4SKtU2R1Ep89O9eywtQiq4IyJDNJfvTCj2jrbyOU6x9ZRElobnr2hua6LBdf2PA36HSIuw7+gCc7foNOh1haWyTe3T5OblwAwKH4fs44eT+vWbWd6oYXOdDdWXK+XLGivCPaa0rBD3RE33zi2YMvprhQkUNfqhd/1kJl0rhVYdFe7R/ZEe3P9Jfc9/eXr2BebYAv3voi6//pXuKpNBYWXPIvsGwj7HrIHChCVJgkwr5pLkQBllwIex4vLIZEiAoVg4TmFtNclEJT7VpM0CtO8ZSSD811HNEhQnMtxxHVKoXHmsaV2IWKRWaKMrgsF9c/fz1A2apgbstNyB0yobmzOEcUTPnvhelPsPXINk5saOHtq1+DZSn4yyfg0AsALK0xItE392aeSSR55s9ABLbGY0ChsFFqkBA1zbGLc0QBTq5fVfJzBrCrBzuisXQPfm1DJoXXCpCTlqVVc5PgKW2947E9JY4owImNYW796Bk8tauDr/xuE1tUFqUsk4/x9hvglmvhlTsK4TCCcJwJe2dAy6hF58Gfr4OdpqCZCFGhUsjniMp7GoB50bngZNusqJb8wSkn54h27jZpS7seNj8PCM21lJuMTqFJ4bFFiAqTjwjRMljKYmFkIZvaNhF0lxcWUV8074jO1hzRHP/7gbeR1ZoqT9HbqX6Z+YK8q6zsJBfNv4hPrfsUr//1FXSnjpacJ4UpZOLODnBEB4TmKqW49Y238uG7Psmh/l202TYN0QUAdPenCPuMw9mf6aVOuyDTh88O0JUFsm6s4oVDJgl2tOT8PttXkiNa/LqnLqjhw+cu5q//pIknnXBD2w1v+ZFxfaZzJVOhoghM5z6iOeatN6Fg+540P8uiXagQdN4Rlfc0wJKaQk7oma1rp/BKBKCwKX7zNYX7XL5B6yk7J0QtEaLC1CAz6BAsiiwa9vFqb3W+j+hsdkQBfG67VISWocpl3JsvrP8CraFW/FaEeHZgaK4jRLVT+KfHcUQHhOYCLI4u5p1LrwVgsx3hupdDfPb/nuPkL92dLyqU1H1U4YZMEr/LCcfVAybaTGrIqrm5He+BnLW0DlQWVfznoxT4pKeWMHlYM2EB7PYbMSpVc4UKI+w3IbkRv6RjACytnUOqcy2xnR/iNQtrp/pyBE+RifKOX8C1f4bPvArhxpLDbOUhTRylND4RosIUII7oEJzVfBa/2/47gp7yjmjEG+Fo/OisD80dLTe+/kY8tocaXw0AQVc1XXSTymTzVdpyjqgnV4G295D5Hmgoe85lta0AfKw5iG7/HpmMTXDZbp7efz0rmtaRIUYAN2RSxtlOgtIDFg3Z8jmiWZ0lrdO41eAquGGfmxWNQTxSIFcQRmbRebDjAUBEqFA5NEa8tLVBbUA+/wFqg17ef8LfcmJjWAoVTQcCThuW06+F5ZcNeZhLufN93r1SrEiYAkSIDsGlCy+lMdDI6obVZR+v9lXzaueraLRUGhsFCyMLS36OemvY79pKW2+SuREzfinHgHRni4Sov2ZQTkOO5fWt+dtr51fzzOGnAdjVswOt15JVMYJEIJNkRUMLL+6ArF3qwparmpvbWEhmkrit8moz6LNwSdl+QRiZRefBvV+WsFyhosiF5lryvgZM6srnLlk+1Zch5PCG4HM7wRcd9jCX8pBVRoj6XeKICpOPzKBDoJRi7Zy1Q37IRLwROhIds7pq7rFQ66vFcvVytLeQi5kToq5coaCeQxCaW+bZzjn81ZzfeiHfPu/b/Hzjz/jFJbcA0NnfTV8iDXacgO2FTJKPnvo2gHwLlzxlquZ6HGHany6tnFtMVmdlASJMCR9c9hVOj75rqi9j9DSeYhZD8vciVBBZJ9xcSbi5MF3xV4+YDuGy3GCZNZdPhKgwBYilM06qvdXE03ESmYQ09x0Htf46lB2nIx4DTBhPxvlgd+Ud0YODKuYWo5Ti2+d/K//znKA5T1eim0O93SiVJWz5AE2tN8rn1v4Tg9I+yzmidsERHYqszmIrKdsvTD6f2PCmqb6EsWHZsPAc2PL7qb4SQZgw8o6o7OcLMxi35TGtBwC/W0wVYfIRITpOok64Q1Zn8UqC95ip9ZtiBkdibYBJns9oMxvaKccl7TkEdctGfc6ozwjRnmQv+3vaAYg4RZLIJHn3qssHP6mMEM05ouUq5+afpjPiiArCaDn709B6+lRfhSBMGDlHVD4HhJmM2yqsf6qk6r8wBYgQHSdRbyHuXkJzx0693yTSt8Xb8vdldQalNVYmAVqbHNFg+UJF5fDYHtBuelO9HOzpACCaKzaVSQJl+i6WCc3NbSyMJETFERWEUdK0xnwJQoUgoblCJeApFqKylhWmANnKGyfFQlRCc8dOxOlx1Z3oy9+X1hnzhkwnIN5hKtoGh84RLYelfcTSvRzuM0K0OtdLK1eJdyBlHNFiIXqo7xBX3HYF2zq2lT5NHFFBEIRZS669l4TmCjMZT9H6J+CRtaww+cgMOk5KHFGpmjtmIj7jTvYm4/n7stkMtgbS/cP2EB0OF1X0Z/poj3cBUOsLmQfK5Xtms5BNgzW0I3rnjjvZ2rGV0VWJwwAADwVJREFU7z/3fe7aeRc7u3Y6T81iW+KICoIgzEbevPTNANRX1U/xlQjC+PEWC1HJERWmAAnNHSfVvur8bQnNHTthR4jGUgUhmtEZLJRxRHM9RMfoiLqtKpKpGO1x06alzu/0MysrRB2XdEBobsAdAOAXm39BPG2u7+nDT3P3rrup89dx35X3SWiuIAjCLObqFVfz7hPfLRuSwoymuHdoyCuOqDD5iBAdJxFPoWGzhOaOnYjPiL1iIZrVWSc0t79IiI7NEfVaAbp0D52JbgDqq3JCtExobk6cDgjNXVG7gmtOuob/3vzf+TzRo/Gj+e/dyW5p3yIIgjCLUUrJZqQw4/EW9WkPesrU0RCE44wI0XHitt2srF2JrWw2NG2Y6suZcYScCS9W1KszozNY2nFExxma67cDtHOY7mQ3aEXIM0xobk6cDhCiSik+te5TXLX8Km565SbObD6TH77wQ7a0b+FI/Aj37rpXHFFBEARBEGY0xaG5YXFEhSlAhOgxcOPrb5zqS5ix5MKZ+9PFjmgGBQVH1B0Ab2hM561yBcmqOL2pHpT2YeXCprMDHFGti4RoaWhujjmBOXxi7ScAWDdnHVprLv31pdy5405xRAVBEARBmNH43YX2gyGfOKLC5CMraWFK8Ntm560/U3BEs8WO6Bhbt+QIuIMou5+eZDc2gYLILA7NffoG+Ooc+N2nzM8DHNGhUEqxceFGHjv4GJ2JTskNEgRBEARhxuJ3FcRnxCtCVJh8RIgKU4LLcoG2SAwMzUU5VXMPQWhshYoAgu4gykoRy3TjVlUFkZkLzdUaHvkPyCTglTvMfaMUogAbF24kq7PE03FxRAVBEARBmLGcNndt/nbAM/q1kCBMFLKSFqYEpRQKD4lsIn9fliwqVzW3aw+Em8d83lzF2xQdeK3gYCG672k4shma1hSeNERobjmWVi9lSXSJeZrkiAqCIAiCMEM5c9G8/G2fW9Y0wuQjQlSYMiztIZUtDc1VWJDqg+59EG0d8zlzRZCUq5MqOzg4NPeZn4PLDxf/U+FJY3BEwbiiIEJUEARBEISZi9u26N36OWK7349SaqovR5iFiBAVpgxbeUkWOaJaZ4wjGu+AbBoi4xCiXuOIKjtBwB0qdUSTffDCzbDyTdDymqILGb0jCrBxgRGiEporCIIgCMJM5v8+eCmfO/eNU30ZwixFquYKU4atPKQHhOa6dJG4i84r86zhCXuDhduecKkQ3XQbJHtgzXvAdsH77oB7vwz1y8f0Gq3hVj5z6mdYN2fdmK9PEARBEARhurBufg3r5tdM9WUIsxQRosKU4VJe+ikSojprQnNzjMMRjfoC+dthb7g0NHfTbyA6H+afYe5bcCZcc/e4rv3qlVeP63mCIAiCIAiCIEhorjCFuJWXjE7mf9a5HNEc48gRjfoKjmiNL1IkRJMQb4eahSB5EIIgCIIgCIIwpYxKiCqlLlFKvaKU2qaU+nyZxyNKqd8qpZ5TSr2klHr/xF+qUGm4LS9ZBlbNdQoAKQs8gSGeOTTV/oIQrfVHSkNzUzFwS58sQRAEQRAEQZhqRhSiSikb+A9gI7ACuEoptWLAYX8JbNJanwKcB/w/pZQ0JBKGpcrtJ0uStl4jRrNkjAAFCLeM65y1VaH87fpgdWlobioObv8xXbMgCIIgCIIgCMfOaBzR1wDbtNbbtdZJ4EZgYHktDYSUqf0cBNqB9IReqVBxtEQjoJLc+/Jh9nXG6UskcVtO2nJkfEK0ODR3brBmgCMqQlQQBEEQBEEQpgOjKVbUDOwp+nkvcPqAY74L3AbsB0LA27XW2Qm5QqFimRsKYdtp7n7pIA9sOQIqS13Aax6MNI/rnAF3IZx3brBaQnMFQRAEQRAEYRoyGiFarrKLHvDzxcCzwPnAYuAPSqkHtdbdJSdS6kPAhwDmzRt7aw6hsqhyVaHsBPe/coh0VrHoZA9e3WMeDI9PiLptN2gbVIb6QARyDmtaHFFBEARBEARBmC6MJjR3L1BcvrQF43wW837g19qwDdgBDGrOqLW+Xmt9qtb61Pr6+vFes1AhrKhdQZYUWc9eGmvSdGV2Mq/hFHD5Ye3426MobVzVsDdsKuT6a6DvMKT7zbkFQRAEQRAEQZhSRiNEnwCWKqUWOgWI3oEJwy1mN3ABgFJqDnACsH0iL1SoPDY0bUChOHHxfs5Zt4VkNsk7134EvngQaheP+7wWXpT24racQkWRFmh71dwWR1QQBEEQBEEQppwRQ3O11mml1MeAuwAb+InW+iWl1LXO4z8AvgL8VCn1AiaU93Na66PH8bqFCqDaV83K2pVk9Ms8cuQg57acy6LIomM+r0v5KElQjrTAvqfNbckRFQRBEARBEIQpZzQ5omit7wDuGHDfD4pu7wcumthLE2YDZzafyX8+/58AvHfleyfknPOiUZLZZOGOcDO84rx9xREVBEEQBEEQhClnNKG5gnDcOLP5TMDki54659QJOefCaCtLqhcU7ihuBSNCVBAEQRAEQRCmnFE5ooJwvFhVt4oL5l3AO5a/A9OG9tj56llfLb2jRIhKaK4gCIIgCIIgTDUiRIUpxWW5uO61103oOf0DK+MWt4IRR1QQBEEQBEEQphwJzRUqH3FEBUEQBEEQBGFaIUJUqHxCjaCct7o4ooIgCIIgCIIw5YgQFSof22XEKIgjKgiCIAiCIAjTABGiwuwglycqjqggCIIgCIIgTDkiRIXZQUSEqCAIgiAIgiBMF0SICrODXMEiEaKCIAiCIAiCMOVI+xZhdrDqSrDc4PJN9ZUIgiAIgiAIwqxHhKgwO2g82XwJgiAIgiAIgjDlSGiuIAiCIAiCIAiCMKmIEBUEQRAEQRAEQRAmFRGigiAIgiAIgiAIwqQiQlQQBEEQBEEQBEGYVESICoIgCIIgCIIgCJOKCFFBEARBEARBEARhUhEhKgiCIAiCIAiCIEwqIkQFQRAEQRAEQRCESUWEqCAIgiAIgiAIgjCpiBAVBEEQBEEQBEEQJhURooIgCIIgCIIgCMKkIkJUEARBEARBEARBmFREiAqCIAiCIAiCIAiTitJaT80LK3UE2DUlLz7zqAOOTvVFzBJkrCcXGe/JRcZ7cpBxnlxkvCcXGe/JQcZ58pExPz7M11rXl3tgyoSoMHqUUk9qrU+d6uuYDchYTy4y3pOLjPfkIOM8uch4Ty4y3pODjPPkI2M++UhoriAIgiAIgiAIgjCpiBAVBEEQBEEQBEEQJhURojOD66f6AmYRMtaTi4z35CLjPTnIOE8uMt6Ti4z35CDjPPnImE8ykiMqCIIgCIIgCIIgTCriiAqCIAiCIAiCIAiTigjR44BSqlUpdZ9SarNS6iWl1Ced+2uUUn9QSm11vlc799c6x/cqpb5bdJ6QUurZoq+jSqnrhnjNdUqpF5RS25RS31FKKef+c5RSTyul0kqpt07G/3+ymGbj/D6l1JGic/zFZIzBZDPNxny+UupepdTzSqn7lVItkzEGk8VEjbXz2FXOGD6vlPq9UqpuiNecdfMITLuxrvi5ZJqNd0XPIzDh4/12Z6xeUkp9Y5jXnHVzyTQbZ5lHJne8K34eOW5oreVrgr+ARmCtczsEbAFWAN8APu/c/3ngX5zbAeAs4Frgu8Oc9yngnCEeexzYACjgTmCjc/8C4GTg58Bbp3psKnic3zfcOSvla5qN+f8C73Vunw/cMNXjMx3HGnABh4E65+dvAF8a41hX7DwyDce64ueSaTbeFT2PTPB41wK7gXrn558BF4xxvCt2Lplm4yzzyOSOd8XPI8frSxzR44DW+oDW+mnndg+wGWgG3oh5g+N8f5NzTJ/W+iGgf6hzKqWWAg3Ag2UeawTCWutHtPkr+HnRuXdqrZ8HshP035s2TKdxni1MszFfAdzr3L7PuYaKYQLHWjlfAWf3NgzsH/h6s3Uegek11rOBaTbeFT2PwISO9yJgi9b6iPPzPcBbBr7ebJ1LptM4zwam2XhX/DxyvBAhepxRSi0A1gCPAXO01gfA/AFhFt+j5SrgJufNP5BmYG/Rz3ud+2YN02Sc3+KEZfyfUqp1DK85I5kGY/4chQ+LNwMhpVTtGF53xnAsY621TgEfAV7ALNJXAD8uc+isn0dg2oz1rJlLpsF4z5p5BI553t4GLFdKLVBKuTCL8HLvz1k/l0yTcZZ5ZPLGe1bNIxOJCNHjiFIqCNwMfEpr3X2Mp3sH8MuhXqrMfbOmHPI0GeffAgu01idjdtN+VubYimGajPnfAOcqpZ4BzgX2AeljvJZpx7GOtVLKjVmsrwGagOeBvy13aJn7Zs08AtNmrGfNXDJNxntWzCNw7OOtte7AjPdNmAiWnZQfq1k9l0yTcZZ5ZJRM0HjPmnlkohEhepxwPiBvBv5Ha/1r5+5DjrWfs/gPj/JcpwAurfVTzs92UQL6P2J2ZYoTo1soE55UiUyXcdZat2mtE879PwTWHeN/bdoyjcZ8v9b6Cq31GuALzn1dx/4/nD5M0FivBtBav+q4zr8CzpB5pJTpMtazZS6ZRuNd8fMITNy8rbX+rdb6dK31BuAVYKvMJQWmyzjLPDLp4z0r5pHjgQjR44CTq/JjYLPW+ptFD90GvNe5/V7gN6M85VUUOUZa64zWerXz9fdO6EGPUmq989pXj+HcM5bpNM65Sc/hDf9/O3eM01YMgAH498RMSzkDYm6P0KUzA2fgBpygF2CMuvYAnategaEUCUTFwghTmcNgIzEVtUocY75Psp6SKLbyD7/k6D2nPqswncEy3ymlPHbYcZIv//3DBrTCrG+S7JdS3rXXH9uceqQZKevX0CWD5T11jySr7e1Sym67bic5SrLQJdVIOeuR7nlP3yNrsxzgxKTZRuqpXMvU24RO2/iUejLX9ySX7frmyXeuk9wl+ZP6r8v+k89+J9l7Zs33SX4muUpykqS09z+0+e6T3CY523Q+k+b8OclZ6nMCP56b56WOwTI/aOtdJFkk2dp0PqNmnXpK4Hmb61uSt/+Y9bQ9MmDW03fJYHlP3SNryPtrkl9tHP5lzVfXJYPlrEf65j19j6xrPAYIAAAAXbg1FwAAgK5sRAEAAOjKRhQAAICubEQBAADoykYUAACArmxEAQAA6MpGFAAAgK5sRAEAAOjqAbCiWJHq+Yp9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16,6))\n",
    "plt.plot( ret_test[\"Kalman_beta\"], label=\"Kalman Filter beta\")\n",
    "plt.plot( ret_test[\"ols_beta\"], label=\"OLS beta\" )\n",
    "plt.plot( ret_test.index, betas, label=\"Kalman Filter alpha-beta\")\n",
    "plt.legend(); plt.title(\"Good filter. Comparison Betas\"); plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(16,6))\n",
    "plt.plot( ret_test[\"Kalman_err\"], label=\"Kalman Filter error ($\\sqrt{P}$)\")\n",
    "plt.plot( ret_test[\"ols_std_err\"], label=\"OLS error\" )\n",
    "plt.legend(); plt.title(\"Comparison Beta errors\"); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The error comparison above is only indicative. Since the OLS error $\\sqrt{ \\frac{\\sigma^2}{S_{xx}} }$ can be set arbitrarily small by simply choosing a bigger time window (the more data we have, the higher $S_{xx}$ will be)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "[1] Casella, George and Berger, Roger. (2001) \"Statistical inference\" Duxbury Advanced Series "
   ]
  }
 ],
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   "language": "python",
   "name": "python3"
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    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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